Greatest Common Factor of 696/716, 124/792, 364/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/716, 124/792, 364/195

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 696/716,124/792,364/195

Given fractions are 696/716,124/792,364/195

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 696,124,364

Greatest Common Factor of Numerators i.e. GCF of 696,124,364 is 4 .

LCM of Denominators means LCM of 716,792,195 as per the given fractions.

LCM of 716,792,195 is 9214920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,124,364

GCF of Fractions 696/716,124/792,364/195 is 4/9214920

2 696, 124, 364
2 348, 62, 182
174, 31, 91

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

Greatest Common Factor of 696,124,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,124,364 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 696,124,364 . The biggest common factor number is the GCF number.
So the greatest common factor 696,124,364 is 4.

Lets's calculate LCM of 716,792,195

2 716, 792, 195
2 358, 396, 195
3 179, 198, 195
179, 66, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 179 x 66 x 65 = 9214920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9214920

Therefore, the GCF of Fractions 696/716,124/792,364/195 is 4/9214920

Least Common Multiple of 716,792,195 with GCF Formula

Least Common Multiple of 716,792,195 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 716,792,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,792,195) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(716,792,195) x common factors =1 x 12 = 12

LCM(716,792,195) = ( 716 × 792 × 195 ) / 12

LCM(716,792,195) = 110579040 / 12

LCM(716,792,195) = 9214920


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 696/716, 124/792, 364/195

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 696/716, 124/792, 364/195?

Answer: GCF of Numerators as per given numbers 696/716, 124/792, 364/195 is

GCF of Numerators i.e. for 696,124,364 is 4

LCM of denominators i.e. for 716,792,195 is 9214920.

Thus, GCF of Fractions is 4/9214920.Finally, GCF of Fractions for 696/716, 124/792, 364/195 is 4/9214920.