Greatest Common Factor of 5026/358, 2177/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5026/358, 2177/766

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 5026/358,2177/766

Given fractions are 5026/358,2177/766

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 5026,2177

Greatest Common Factor of Numerators i.e. GCF of 5026,2177 is 7 .

LCM of Denominators means LCM of 358,766 as per the given fractions.

LCM of 358,766 is 137114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5026,2177

GCF of Fractions 5026/358,2177/766 is 7/137114

7 5026, 2177
718, 311

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5026,2177 By Matching Biggest Common Factor Method

Greatest Common Factor of 5026,2177 By Matching Biggest Common Factor Method

Factors of 5026

List of positive integer factors of 5026 that divides 5026 without a remainder.

1,2,7,14,359,718,2513,5026

Factors of 2177

List of positive integer factors of 2177 that divides 2177 without a remainder.

1,7,311,2177

Greatest Common Factor

We found the factors 5026,2177 . The biggest common factor number is the GCF number.
So the greatest common factor 5026,2177 is 7.

Lets's calculate LCM of 358,766

2 358, 766
179, 383

∴ So the LCM of the given numbers is 2 x 179 x 383 = 137114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/137114

Therefore, the GCF of Fractions 5026/358,2177/766 is 7/137114

Least Common Multiple of 358,766 with GCF Formula

Least Common Multiple of 358,766 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 358,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,766) = 2

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

GCF(358,766) x common factors =2 x 1 = 2

LCM(358,766) = ( 358 × 766 ) / 2

LCM(358,766) = 274228 / 2

LCM(358,766) = 137114


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 5026/358, 2177/766

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 5026/358, 2177/766?

Answer: GCF of Numerators as per given numbers 5026/358, 2177/766 is

GCF of Numerators i.e. for 5026,2177 is 7

LCM of denominators i.e. for 358,766 is 137114.

Thus, GCF of Fractions is 7/137114.Finally, GCF of Fractions for 5026/358, 2177/766 is 7/137114.