Greatest Common Factor of 3160/667, 5377/3548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3160/667, 5377/3548

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 3160/667,5377/3548

Given fractions are 3160/667,5377/3548

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 3160,5377

Greatest Common Factor of Numerators i.e. GCF of 3160,5377 is 1 .

LCM of Denominators means LCM of 667,3548 as per the given fractions.

LCM of 667,3548 is 2366516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3160,5377

GCF of Fractions 3160/667,5377/3548 is 1/2366516

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

Greatest Common Factor of 3160,5377 By Matching Biggest Common Factor Method

Greatest Common Factor of 3160,5377 By Matching Biggest Common Factor Method

Factors of 3160

List of positive integer factors of 3160 that divides 3160 without a remainder.

1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160

Factors of 5377

List of positive integer factors of 5377 that divides 5377 without a remainder.

1,19,283,5377

Greatest Common Factor

We found the factors 3160,5377 . The biggest common factor number is the GCF number.
So the greatest common factor 3160,5377 is 1.

Lets's calculate LCM of 667,3548

Given numbers has no common factors except 1. So, there LCM is their product i.e 2366516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2366516

Therefore, the GCF of Fractions 3160/667,5377/3548 is 1/2366516

Least Common Multiple of 667,3548 with GCF Formula

Least Common Multiple of 667,3548 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 667,3548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,3548) = 1

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

GCF(667,3548) x common factors =1 x 1 = 1

LCM(667,3548) = ( 667 × 3548 ) / 1

LCM(667,3548) = 2366516 / 1

LCM(667,3548) = 2366516


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 3160/667, 5377/3548

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 3160/667, 5377/3548?

Answer: GCF of Numerators as per given numbers 3160/667, 5377/3548 is

GCF of Numerators i.e. for 3160,5377 is 1

LCM of denominators i.e. for 667,3548 is 2366516.

Thus, GCF of Fractions is 1/2366516.Finally, GCF of Fractions for 3160/667, 5377/3548 is 1/2366516.