The Ratio of length to breadth is 6 000 ; 3 600 cm determine the HCF

Answer 1

To find the highest common factor (HCF) of two numbers, we need to find the largest number that divides both numbers evenly.

In this case, the length is 6,000 cm and the breadth is 3,600 cm.

To determine the HCF, we can use the Euclidean algorithm.

Step 1: Divide the larger number (6,000) by the smaller number (3,600).

6,000 ÷ 3,600 = 1 remainder 2,400

Step 2: Divide the divisor (3,600) by the remainder (2,400).

3,600 ÷ 2,400 = 1 remainder 1,200

Step 3: Divide the divisor (2,400) by the remainder (1,200).

2,400 ÷ 1,200 = 2 remainder 0

Since we have reached a remainder of 0, the last non-zero remainder (1,200) is the highest common factor (HCF) of 6,000 and 3,600.

Therefore, the HCF of 6,000 and 3,600 cm is 1,200 cm.