Greatest Common Factor of 5107/154, 3696/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5107/154, 3696/342

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 5107/154,3696/342

Given fractions are 5107/154,3696/342

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 5107,3696

Greatest Common Factor of Numerators i.e. GCF of 5107,3696 is 1 .

LCM of Denominators means LCM of 154,342 as per the given fractions.

LCM of 154,342 is 26334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5107,3696

GCF of Fractions 5107/154,3696/342 is 1/26334

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5107,3696 By Matching Biggest Common Factor Method

Greatest Common Factor of 5107,3696 By Matching Biggest Common Factor Method

Factors of 5107

List of positive integer factors of 5107 that divides 5107 without a remainder.

1,5107

Factors of 3696

List of positive integer factors of 3696 that divides 3696 without a remainder.

1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,33,42,44,48,56,66,77,84,88,112,132,154,168,176,231,264,308,336,462,528,616,924,1232,1848,3696

Greatest Common Factor

We found the factors 5107,3696 . The biggest common factor number is the GCF number.
So the greatest common factor 5107,3696 is 1.

Lets's calculate LCM of 154,342

2 154, 342
77, 171

∴ So the LCM of the given numbers is 2 x 77 x 171 = 26334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26334

Therefore, the GCF of Fractions 5107/154,3696/342 is 1/26334

Least Common Multiple of 154,342 with GCF Formula

Least Common Multiple of 154,342 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 154,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,342) = 2

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

GCF(154,342) x common factors =2 x 1 = 2

LCM(154,342) = ( 154 × 342 ) / 2

LCM(154,342) = 52668 / 2

LCM(154,342) = 26334


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 5107/154, 3696/342

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 5107/154, 3696/342?

Answer: GCF of Numerators as per given numbers 5107/154, 3696/342 is

GCF of Numerators i.e. for 5107,3696 is 1

LCM of denominators i.e. for 154,342 is 26334.

Thus, GCF of Fractions is 1/26334.Finally, GCF of Fractions for 5107/154, 3696/342 is 1/26334.