The number of students of Std. 6 and Std. 7 who went to visit the Tadoba Tiger Project at Chandrapur was 140 and 196 respectively. The students of each class are to be divided Into groups of the same number of student. Each group can have a paid guide. What is the maximum number of students there can be in each group ? Why do you think each group should have the maximum possible number of students ?

Explanation

To solve the problem of how many students can be in each group when dividing the students of Std. 6 and Std. 7, we need to find the Highest Common Factor (HCF) of the two numbers: 140 and 196.

### Step-by-Step Solution:

**Step 1: Prime Factorization of 140**
- Start by dividing 140 by the smallest prime number, which is 2.
- 140 ÷ 2 = 70
- Divide 70 by 2 again.
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