The ratio of length to breadth is 6000cm;3600cm determine HCF
To determine the HCF of the given ratio 6000:3600, we need to find the greatest common factor of the two numbers.
The HCF (highest common factor) of 6000 and 3600 can be found by finding the prime factors of both numbers and then identifying the common factors.
Prime factorization of 6000:
6000 = 2^4 * 3 * 5^3
Prime factorization of 3600:
3600 = 2^4 * 3^2 * 5^2
The common factors are 2^4, 3, and 5, so the HCF of 6000 and 3600 is:
HCF(6000, 3600) = 2^4 * 3 * 5 = 240
Therefore, the HCF of the ratio 6000:3600 is 240.