Greatest Common Factor of 92/756, 744/658, 960/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/756, 744/658, 960/986

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 92/756,744/658,960/986

Given fractions are 92/756,744/658,960/986

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 92,744,960

Greatest Common Factor of Numerators i.e. GCF of 92,744,960 is 4 .

LCM of Denominators means LCM of 756,658,986 as per the given fractions.

LCM of 756,658,986 is 17517276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,744,960

GCF of Fractions 92/756,744/658,960/986 is 4/17517276

2 92, 744, 960
2 46, 372, 480
23, 186, 240

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

Greatest Common Factor of 92,744,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,744,960 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 92,744,960 . The biggest common factor number is the GCF number.
So the greatest common factor 92,744,960 is 4.

Lets's calculate LCM of 756,658,986

2 756, 658, 986
7 378, 329, 493
54, 47, 493

∴ So the LCM of the given numbers is 2 x 7 x 54 x 47 x 493 = 17517276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17517276

Therefore, the GCF of Fractions 92/756,744/658,960/986 is 4/17517276

Least Common Multiple of 756,658,986 with GCF Formula

Least Common Multiple of 756,658,986 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 756,658,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,658,986) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(756,658,986) x common factors =2 x 14 = 28

LCM(756,658,986) = ( 756 × 658 × 986 ) / 28

LCM(756,658,986) = 490483728 / 28

LCM(756,658,986) = 17517276


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 92/756, 744/658, 960/986

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 92/756, 744/658, 960/986?

Answer: GCF of Numerators as per given numbers 92/756, 744/658, 960/986 is

GCF of Numerators i.e. for 92,744,960 is 4

LCM of denominators i.e. for 756,658,986 is 17517276.

Thus, GCF of Fractions is 4/17517276.Finally, GCF of Fractions for 92/756, 744/658, 960/986 is 4/17517276.