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Find the HCF of 612 and 1314 using prime...

Find the HCF of 612 and 1314 using prime factorisation.

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The HCF of 65 and 117 is expressible in the form 65m-117 . Find the value of m. also find the LCM of 65 and 117 using prime factorisation method.

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AGRAWAL PUBLICATION-REAL NUMBERS-EXAMPLE
  1. The product of the LCM and HCF of two natural numbers is 24. The diffe...

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  2. Two alaram clocks ring their alarms at regular intervals of 72 seconds...

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  3. Find the HCF of 612 and 1314 using prime factorisation.

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  4. Write the smallest number which is divisble by both 306 and 657.

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  5. A rational number in its decimal expansion is 327.7081. What can you s...

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  6. In the adjoining factor tree, find the numbers m and n.

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  7. Using prime factorisation method, find the HCF and LCM of 210 and 175.

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  8. Prove that the number 4^n, n being a natural number, can never end wit...

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  9. Find the two numbers which on multiplication with sqrt360 gives a rati...

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  10. Prove that sqrt5 is an irrational number.

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  11. Prove that 2+5sqrt3 is an irrational number, given that sqrt3 is an ir...

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  12. Prove that sqrt2 is an irrational number.

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  13. Find HCF and LCM of 404 and 96 and verify that HCF xx LCM =Product of ...

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  14. Write the denominator of rational number 257/5000 in the form 2^mxx5^n...

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  15. Three bells toll at intervals of 12 minutes, 15minutes and 18minutes r...

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  16. Find if 987/10500 will have terminating or non-terminating (repeating)...

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  17. On a morning walk, three people step off together and their steps meas...

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  18. A merchant has 120 litres and 180 liters of two kinds of oil. He wants...

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  19. Using prime factorisation, find HCF and LCM of 18,45 and 60. Check if ...

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  20. Show that the square of any positive odd integer is of the form 8m+1, ...

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