Greatest Common Factor of 932/986, 464/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 932/986, 464/124

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 932/986,464/124

Given fractions are 932/986,464/124

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 932,464

Greatest Common Factor of Numerators i.e. GCF of 932,464 is 4 .

LCM of Denominators means LCM of 986,124 as per the given fractions.

LCM of 986,124 is 61132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 932,464

GCF of Fractions 932/986,464/124 is 4/61132

2 932, 464
2 466, 232
233, 116

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 932,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 932,464 By Matching Biggest Common Factor Method

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 932,464 . The biggest common factor number is the GCF number.
So the greatest common factor 932,464 is 4.

Lets's calculate LCM of 986,124

2 986, 124
493, 62

∴ So the LCM of the given numbers is 2 x 493 x 62 = 61132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/61132

Therefore, the GCF of Fractions 932/986,464/124 is 4/61132

Least Common Multiple of 986,124 with GCF Formula

Least Common Multiple of 986,124 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 986,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,124) = 2

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

GCF(986,124) x common factors =2 x 1 = 2

LCM(986,124) = ( 986 × 124 ) / 2

LCM(986,124) = 122264 / 2

LCM(986,124) = 61132


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 932/986, 464/124

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 932/986, 464/124?

Answer: GCF of Numerators as per given numbers 932/986, 464/124 is

GCF of Numerators i.e. for 932,464 is 4

LCM of denominators i.e. for 986,124 is 61132.

Thus, GCF of Fractions is 4/61132.Finally, GCF of Fractions for 932/986, 464/124 is 4/61132.