Greatest Common Factor of 2107/177, 5678/3925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2107/177, 5678/3925

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 2107/177,5678/3925

Given fractions are 2107/177,5678/3925

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 2107,5678

Greatest Common Factor of Numerators i.e. GCF of 2107,5678 is 1 .

LCM of Denominators means LCM of 177,3925 as per the given fractions.

LCM of 177,3925 is 694725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2107,5678

GCF of Fractions 2107/177,5678/3925 is 1/694725

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

Greatest Common Factor of 2107,5678 By Matching Biggest Common Factor Method

Greatest Common Factor of 2107,5678 By Matching Biggest Common Factor Method

Factors of 2107

List of positive integer factors of 2107 that divides 2107 without a remainder.

1,7,43,49,301,2107

Factors of 5678

List of positive integer factors of 5678 that divides 5678 without a remainder.

1,2,17,34,167,334,2839,5678

Greatest Common Factor

We found the factors 2107,5678 . The biggest common factor number is the GCF number.
So the greatest common factor 2107,5678 is 1.

Lets's calculate LCM of 177,3925

Given numbers has no common factors except 1. So, there LCM is their product i.e 694725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/694725

Therefore, the GCF of Fractions 2107/177,5678/3925 is 1/694725

Least Common Multiple of 177,3925 with GCF Formula

Least Common Multiple of 177,3925 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 177,3925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,3925) = 1

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

GCF(177,3925) x common factors =1 x 1 = 1

LCM(177,3925) = ( 177 × 3925 ) / 1

LCM(177,3925) = 694725 / 1

LCM(177,3925) = 694725


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 2107/177, 5678/3925

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 2107/177, 5678/3925?

Answer: GCF of Numerators as per given numbers 2107/177, 5678/3925 is

GCF of Numerators i.e. for 2107,5678 is 1

LCM of denominators i.e. for 177,3925 is 694725.

Thus, GCF of Fractions is 1/694725.Finally, GCF of Fractions for 2107/177, 5678/3925 is 1/694725.