Home
Class 10
MATHS
Find the HCF of 81 and 237 and express i...

Find the HCF of 81 and 237 and express it as a linear combination of 81 and 237.

Text Solution

Verified by Experts

Given integers are `81 and 237 `such that `81<237.`
Applying division lemma to` 81 and 237, `we get
`237=81×2+75 `
Since the remainder `75=0`. So, consider the divisor `81` and the remainder` 75` and apply division lemma to get
`81=75×1+6 `
We consider the new divisor `75` and the new remainder` 6` and apply division lemma to get
...
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA|Exercise All Questions|390 Videos
  • SOME APPLICATIONS OF TRIGONOMETRY

    RD SHARMA|Exercise All Questions|154 Videos

Similar Questions

Explore conceptually related problems

Find the HCF of 55 and 210 .express it as a linear combinaton of 55 and 210, i.e.HCF of 55 and 210=210a+55b, for some a andb

Find the HCF and express as linear combination of them : 1288 and 575

Express the HCF of numbers 72 and 124 as a linear combination of 72 and 124.

Find the HCF of the following pairs of integers and express it as a linear combination of them. (i) 506 and 1155

Find the HCF of the numbers : 81, 99

Find the HCF and LCM of 8/9 , 10/29 and 16/81

Find the square root of 81.

The HCF of two numbers is 27 and their LCM is 162 . if one of numbers is 81 , find the other.

Find the range of the expression 27^(cos 2x) 81^(sin 2x)

RD SHARMA-REAL NUMBERS-All Questions
  1. Two tankers contain 850 litres and 680 litres of petrol respectively. ...

    Text Solution

    |

  2. Two sets of English and social science books containing 336 and 96 res...

    Text Solution

    |

  3. Find the HCF of 81 and 237 and express it as a linear combination of 8...

    Text Solution

    |

  4. Find the largest number that will divide 398, 436 and 542 leaving r...

    Text Solution

    |

  5. Let a,b,c,k be rational numbers such that k is not perfect cube if a ...

    Text Solution

    |

  6. Prove that for any prime positive integer p ,sqrt(p) is an irrational ...

    Text Solution

    |

  7. Let A B C D be a tetrahedron such that the edges A B ,A Ca n dA D a...

    Text Solution

    |

  8. 15 Pastries and 12 biscuit packets have been donated for a school fete...

    Text Solution

    |

  9. The length, breadth and height of a room are 8m and 25cm, 6m and 75m ...

    Text Solution

    |

  10. Let a and b be positive integers. Show that sqrt2 always lies between...

    Text Solution

    |

  11. State whether the following are true or not: 3|93 (ii) 6|28 (iii) 0...

    Text Solution

    |

  12. State whether the following are true or not: -7|-35 (ii) 6|6 (iii) ...

    Text Solution

    |

  13. Show that every positive even integer is of the form 2q , and that ...

    Text Solution

    |

  14. Show that any positive integer is of the form 3q or, 3q+1 or, 3q+2 ...

    Text Solution

    |

  15. Show that any positive odd integer is of the form 4q+1 or 4q+3 , wh...

    Text Solution

    |

  16. Show that n^2-1 is divisible by 8, if n is an odd positive integer.

    Text Solution

    |

  17. Show that the square of any positive integer is of the form 3m or, ...

    Text Solution

    |

  18. Use Euclids division Lemma to show that the cube of any positive in...

    Text Solution

    |

  19. Prove that the product of two consecutive positive integers is divi...

    Text Solution

    |

  20. For any positive integer n , prove that n^3-n divisible by 6.

    Text Solution

    |