Math and Arithmetic
Factoring and Multiples

# What is the HCF and LCM of 200 and 175?

###### Wiki User

200 = 23 x 52

175 = 52 x 7

hcf = 52 = 25

lcm = 23 x 52 x 7 = 1400

๐
3
๐คจ
5
๐ฎ
2
๐
2

## Related Questions

The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.

No.-------------------------------------------------------------To find the HCF and LCM of two (or more) numbers list the numbers in their prime factorisations in power format; then:HCF = product of the primes to the LOWEST power across all the numbers;LCM = product of the primes to the HIGHEST power across all the numbers.Note: for p being any prime, p&#8304; = 1; so if a prime does not appear as a factor of a number, it can be said to have a power of 0. This means that the LOWEST power is 0 and the prime does not appear in the HCF of the numbers. The HIGHEST power of a prime must be at least the LOWEST power of a prime.Thus if a prime appears in the HCF of the numbers (with a power greater than or equal to 1) it MUST also appear in the LCM of the numbers.If the HCF of some numbers is 15, then: 15 = 3 &times; 5 which means that the primes 3 and 5 MUST both apear in the LCM.But 175 = 5&sup2; &times; 7, which does NOT include 3, so 175 CANNOT be the LCM of some numbers which have a HCF of 15.

LCM = product/HCF so product = LCM/HCF in this case 380/16 which is 23.75, so the answer to your question is no.

HCF - Highest Common Factor. LCM - Lowest Common Multiple.

175% of 200= 175% * 200= 1.75 * 200= 350

###### Factoring and MultiplesMath and ArithmeticAlgebra

Copyright ยฉ 2021 Multiply Media, LLC. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.