Greatest Common Factor of 537/94, 3978/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 537/94, 3978/750

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 537/94,3978/750

Given fractions are 537/94,3978/750

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 537,3978

Greatest Common Factor of Numerators i.e. GCF of 537,3978 is 3 .

LCM of Denominators means LCM of 94,750 as per the given fractions.

LCM of 94,750 is 35250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 537,3978

GCF of Fractions 537/94,3978/750 is 3/35250

3 537, 3978
179, 1326

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 537,3978 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,3978 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 3978

List of positive integer factors of 3978 that divides 3978 without a remainder.

1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978

Greatest Common Factor

We found the factors 537,3978 . The biggest common factor number is the GCF number.
So the greatest common factor 537,3978 is 3.

Lets's calculate LCM of 94,750

2 94, 750
47, 375

∴ So the LCM of the given numbers is 2 x 47 x 375 = 35250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35250

Therefore, the GCF of Fractions 537/94,3978/750 is 3/35250

Least Common Multiple of 94,750 with GCF Formula

Least Common Multiple of 94,750 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 94,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,750) = 2

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

GCF(94,750) x common factors =2 x 1 = 2

LCM(94,750) = ( 94 × 750 ) / 2

LCM(94,750) = 70500 / 2

LCM(94,750) = 35250


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 537/94, 3978/750

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 537/94, 3978/750?

Answer: GCF of Numerators as per given numbers 537/94, 3978/750 is

GCF of Numerators i.e. for 537,3978 is 3

LCM of denominators i.e. for 94,750 is 35250.

Thus, GCF of Fractions is 3/35250.Finally, GCF of Fractions for 537/94, 3978/750 is 3/35250.