Greatest Common Factor of 3762/745, 2532/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3762/745, 2532/375

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 3762/745,2532/375

Given fractions are 3762/745,2532/375

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 3762,2532

Greatest Common Factor of Numerators i.e. GCF of 3762,2532 is 6 .

LCM of Denominators means LCM of 745,375 as per the given fractions.

LCM of 745,375 is 55875 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3762,2532

GCF of Fractions 3762/745,2532/375 is 6/55875

2 3762, 2532
3 1881, 1266
627, 422

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3762,2532 By Matching Biggest Common Factor Method

Greatest Common Factor of 3762,2532 By Matching Biggest Common Factor Method

Factors of 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762

Factors of 2532

List of positive integer factors of 2532 that divides 2532 without a remainder.

1,2,3,4,6,12,211,422,633,844,1266,2532

Greatest Common Factor

We found the factors 3762,2532 . The biggest common factor number is the GCF number.
So the greatest common factor 3762,2532 is 6.

Lets's calculate LCM of 745,375

5 745, 375
149, 75

∴ So the LCM of the given numbers is 5 x 149 x 75 = 55875

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/55875

Therefore, the GCF of Fractions 3762/745,2532/375 is 6/55875

Least Common Multiple of 745,375 with GCF Formula

Least Common Multiple of 745,375 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 745,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,375) = 5

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

GCF(745,375) x common factors =5 x 1 = 5

LCM(745,375) = ( 745 × 375 ) / 5

LCM(745,375) = 279375 / 5

LCM(745,375) = 55875


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 3762/745, 2532/375

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 3762/745, 2532/375?

Answer: GCF of Numerators as per given numbers 3762/745, 2532/375 is

GCF of Numerators i.e. for 3762,2532 is 6

LCM of denominators i.e. for 745,375 is 55875.

Thus, GCF of Fractions is 6/55875.Finally, GCF of Fractions for 3762/745, 2532/375 is 6/55875.