Greatest Common Factor of 375/42, 700/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 375/42, 700/547

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 375/42,700/547

Given fractions are 375/42,700/547

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 375,700

Greatest Common Factor of Numerators i.e. GCF of 375,700 is 25 .

LCM of Denominators means LCM of 42,547 as per the given fractions.

LCM of 42,547 is 22974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 375,700

GCF of Fractions 375/42,700/547 is 25/22974

5 375, 700
5 75, 140
15, 28

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 375,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,700 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 375,700 . The biggest common factor number is the GCF number.
So the greatest common factor 375,700 is 25.

Lets's calculate LCM of 42,547

Given numbers has no common factors except 1. So, there LCM is their product i.e 22974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/22974

Therefore, the GCF of Fractions 375/42,700/547 is 25/22974

Least Common Multiple of 42,547 with GCF Formula

Least Common Multiple of 42,547 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 42,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,547) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(42,547) x common factors =1 x 1 = 1

LCM(42,547) = ( 42 × 547 ) / 1

LCM(42,547) = 22974 / 1

LCM(42,547) = 22974


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 375/42, 700/547

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 375/42, 700/547?

Answer: GCF of Numerators as per given numbers 375/42, 700/547 is

GCF of Numerators i.e. for 375,700 is 25

LCM of denominators i.e. for 42,547 is 22974.

Thus, GCF of Fractions is 25/22974.Finally, GCF of Fractions for 375/42, 700/547 is 25/22974.