Greatest Common Factor of 696/88, 442/92, 156/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/88, 442/92, 156/574

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 696/88,442/92,156/574

Given fractions are 696/88,442/92,156/574

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 696,442,156

Greatest Common Factor of Numerators i.e. GCF of 696,442,156 is 2 .

LCM of Denominators means LCM of 88,92,574 as per the given fractions.

LCM of 88,92,574 is 580888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,442,156

GCF of Fractions 696/88,442/92,156/574 is 2/580888

2 696, 442, 156
348, 221, 78

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

Greatest Common Factor of 696,442,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,442,156 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 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 696,442,156 . The biggest common factor number is the GCF number.
So the greatest common factor 696,442,156 is 2.

Lets's calculate LCM of 88,92,574

2 88, 92, 574
2 44, 46, 287
22, 23, 287

∴ So the LCM of the given numbers is 2 x 2 x 22 x 23 x 287 = 580888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/580888

Therefore, the GCF of Fractions 696/88,442/92,156/574 is 2/580888

Least Common Multiple of 88,92,574 with GCF Formula

Least Common Multiple of 88,92,574 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 88,92,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,92,574) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(88,92,574) x common factors =2 x 4 = 8

LCM(88,92,574) = ( 88 × 92 × 574 ) / 8

LCM(88,92,574) = 4647104 / 8

LCM(88,92,574) = 580888


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 696/88, 442/92, 156/574

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 696/88, 442/92, 156/574?

Answer: GCF of Numerators as per given numbers 696/88, 442/92, 156/574 is

GCF of Numerators i.e. for 696,442,156 is 2

LCM of denominators i.e. for 88,92,574 is 580888.

Thus, GCF of Fractions is 2/580888.Finally, GCF of Fractions for 696/88, 442/92, 156/574 is 2/580888.