Greatest Common Factor of 5664/55, 5349/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5664/55, 5349/780

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 5664/55,5349/780

Given fractions are 5664/55,5349/780

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 5664,5349

Greatest Common Factor of Numerators i.e. GCF of 5664,5349 is 3 .

LCM of Denominators means LCM of 55,780 as per the given fractions.

LCM of 55,780 is 8580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5664,5349

GCF of Fractions 5664/55,5349/780 is 3/8580

3 5664, 5349
1888, 1783

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5664,5349 By Matching Biggest Common Factor Method

Greatest Common Factor of 5664,5349 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 5349

List of positive integer factors of 5349 that divides 5349 without a remainder.

1,3,1783,5349

Greatest Common Factor

We found the factors 5664,5349 . The biggest common factor number is the GCF number.
So the greatest common factor 5664,5349 is 3.

Lets's calculate LCM of 55,780

5 55, 780
11, 156

∴ So the LCM of the given numbers is 5 x 11 x 156 = 8580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8580

Therefore, the GCF of Fractions 5664/55,5349/780 is 3/8580

Least Common Multiple of 55,780 with GCF Formula

Least Common Multiple of 55,780 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 55,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,780) = 5

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

GCF(55,780) x common factors =5 x 1 = 5

LCM(55,780) = ( 55 × 780 ) / 5

LCM(55,780) = 42900 / 5

LCM(55,780) = 8580


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 5664/55, 5349/780

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 5664/55, 5349/780?

Answer: GCF of Numerators as per given numbers 5664/55, 5349/780 is

GCF of Numerators i.e. for 5664,5349 is 3

LCM of denominators i.e. for 55,780 is 8580.

Thus, GCF of Fractions is 3/8580.Finally, GCF of Fractions for 5664/55, 5349/780 is 3/8580.