Greatest Common Factor of 756/358, 928/724, 162/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/358, 928/724, 162/742

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 756/358,928/724,162/742

Given fractions are 756/358,928/724,162/742

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 756,928,162

Greatest Common Factor of Numerators i.e. GCF of 756,928,162 is 2 .

LCM of Denominators means LCM of 358,724,742 as per the given fractions.

LCM of 358,724,742 is 48080116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,928,162

GCF of Fractions 756/358,928/724,162/742 is 2/48080116

2 756, 928, 162
378, 464, 81

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

Greatest Common Factor of 756,928,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,928,162 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 756,928,162 . The biggest common factor number is the GCF number.
So the greatest common factor 756,928,162 is 2.

Lets's calculate LCM of 358,724,742

2 358, 724, 742
179, 362, 371

∴ So the LCM of the given numbers is 2 x 179 x 362 x 371 = 48080116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48080116

Therefore, the GCF of Fractions 756/358,928/724,162/742 is 2/48080116

Least Common Multiple of 358,724,742 with GCF Formula

Least Common Multiple of 358,724,742 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 358,724,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,724,742) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(358,724,742) x common factors =2 x 2 = 4

LCM(358,724,742) = ( 358 × 724 × 742 ) / 4

LCM(358,724,742) = 192320464 / 4

LCM(358,724,742) = 48080116


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 756/358, 928/724, 162/742

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 756/358, 928/724, 162/742?

Answer: GCF of Numerators as per given numbers 756/358, 928/724, 162/742 is

GCF of Numerators i.e. for 756,928,162 is 2

LCM of denominators i.e. for 358,724,742 is 48080116.

Thus, GCF of Fractions is 2/48080116.Finally, GCF of Fractions for 756/358, 928/724, 162/742 is 2/48080116.