Greatest Common Factor of 3966/49, 4937/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3966/49, 4937/132

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 3966/49,4937/132

Given fractions are 3966/49,4937/132

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 3966,4937

Greatest Common Factor of Numerators i.e. GCF of 3966,4937 is 1 .

LCM of Denominators means LCM of 49,132 as per the given fractions.

LCM of 49,132 is 6468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3966,4937

GCF of Fractions 3966/49,4937/132 is 1/6468

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3966,4937 By Matching Biggest Common Factor Method

Greatest Common Factor of 3966,4937 By Matching Biggest Common Factor Method

Factors of 3966

List of positive integer factors of 3966 that divides 3966 without a remainder.

1,2,3,6,661,1322,1983,3966

Factors of 4937

List of positive integer factors of 4937 that divides 4937 without a remainder.

1,4937

Greatest Common Factor

We found the factors 3966,4937 . The biggest common factor number is the GCF number.
So the greatest common factor 3966,4937 is 1.

Lets's calculate LCM of 49,132

Given numbers has no common factors except 1. So, there LCM is their product i.e 6468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6468

Therefore, the GCF of Fractions 3966/49,4937/132 is 1/6468

Least Common Multiple of 49,132 with GCF Formula

Least Common Multiple of 49,132 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 49,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,132) = 1

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

GCF(49,132) x common factors =1 x 1 = 1

LCM(49,132) = ( 49 × 132 ) / 1

LCM(49,132) = 6468 / 1

LCM(49,132) = 6468


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 3966/49, 4937/132

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 3966/49, 4937/132?

Answer: GCF of Numerators as per given numbers 3966/49, 4937/132 is

GCF of Numerators i.e. for 3966,4937 is 1

LCM of denominators i.e. for 49,132 is 6468.

Thus, GCF of Fractions is 1/6468.Finally, GCF of Fractions for 3966/49, 4937/132 is 1/6468.