Greatest Common Factor of 5664/61, 6671/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5664/61, 6671/682

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 5664/61,6671/682

Given fractions are 5664/61,6671/682

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 5664,6671

Greatest Common Factor of Numerators i.e. GCF of 5664,6671 is 1 .

LCM of Denominators means LCM of 61,682 as per the given fractions.

LCM of 61,682 is 41602 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5664,6671

GCF of Fractions 5664/61,6671/682 is 1/41602

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

Greatest Common Factor of 5664,6671 By Matching Biggest Common Factor Method

Greatest Common Factor of 5664,6671 By Matching Biggest Common Factor Method

Factors of 5664

List of positive integer factors of 5664 that divides 5664 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664

Factors of 6671

List of positive integer factors of 6671 that divides 6671 without a remainder.

1,7,953,6671

Greatest Common Factor

We found the factors 5664,6671 . The biggest common factor number is the GCF number.
So the greatest common factor 5664,6671 is 1.

Lets's calculate LCM of 61,682

Given numbers has no common factors except 1. So, there LCM is their product i.e 41602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41602

Therefore, the GCF of Fractions 5664/61,6671/682 is 1/41602

Least Common Multiple of 61,682 with GCF Formula

Least Common Multiple of 61,682 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 61,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,682) = 1

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

GCF(61,682) x common factors =1 x 1 = 1

LCM(61,682) = ( 61 × 682 ) / 1

LCM(61,682) = 41602 / 1

LCM(61,682) = 41602


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 5664/61, 6671/682

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 5664/61, 6671/682?

Answer: GCF of Numerators as per given numbers 5664/61, 6671/682 is

GCF of Numerators i.e. for 5664,6671 is 1

LCM of denominators i.e. for 61,682 is 41602.

Thus, GCF of Fractions is 1/41602.Finally, GCF of Fractions for 5664/61, 6671/682 is 1/41602.