Greatest Common Factor of 5428/886, 2667/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 5428/886, 2667/379

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 5428/886,2667/379

Given fractions are 5428/886,2667/379

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 5428,2667

Greatest Common Factor of Numerators i.e. GCF of 5428,2667 is 1 .

LCM of Denominators means LCM of 886,379 as per the given fractions.

LCM of 886,379 is 335794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5428,2667

GCF of Fractions 5428/886,2667/379 is 1/335794

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

Greatest Common Factor of 5428,2667 By Matching Biggest Common Factor Method

Greatest Common Factor of 5428,2667 By Matching Biggest Common Factor Method

Factors of 5428

List of positive integer factors of 5428 that divides 5428 without a remainder.

1,2,4,23,46,59,92,118,236,1357,2714,5428

Factors of 2667

List of positive integer factors of 2667 that divides 2667 without a remainder.

1,3,7,21,127,381,889,2667

Greatest Common Factor

We found the factors 5428,2667 . The biggest common factor number is the GCF number.
So the greatest common factor 5428,2667 is 1.


Lets's calculate LCM of 886,379

Given numbers has no common factors except 1. So, there LCM is their product i.e 335794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335794

Therefore, the GCF of Fractions 5428/886,2667/379 is 1/335794

Least Common Multiple of 886,379 with GCF Formula

Least Common Multiple of 886,379 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 886,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(886,379) = 1

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

GCF(886,379) x common factors =1 x 1 = 1

LCM(886,379) = ( 886 × 379 ) / 1

LCM(886,379) = 335794 / 1

LCM(886,379) = 335794


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 5428/886, 2667/379

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 5428/886, 2667/379?

Answer: GCF of Numerators as per given numbers 5428/886, 2667/379 is

GCF of Numerators i.e. for 5428,2667 is 1

LCM of denominators i.e. for 886,379 is 335794.

Thus, GCF of Fractions is 1/335794.Finally, GCF of Fractions for 5428/886, 2667/379 is 1/335794.