Greatest Common Factor of 5380/960, 4560/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5380/960, 4560/127

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 5380/960,4560/127

Given fractions are 5380/960,4560/127

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 5380,4560

Greatest Common Factor of Numerators i.e. GCF of 5380,4560 is 20 .

LCM of Denominators means LCM of 960,127 as per the given fractions.

LCM of 960,127 is 121920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5380,4560

GCF of Fractions 5380/960,4560/127 is 20/121920

2 5380, 4560
2 2690, 2280
5 1345, 1140
269, 228

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 5380,4560 By Matching Biggest Common Factor Method

Greatest Common Factor of 5380,4560 By Matching Biggest Common Factor Method

Factors of 5380

List of positive integer factors of 5380 that divides 5380 without a remainder.

1,2,4,5,10,20,269,538,1076,1345,2690,5380

Factors of 4560

List of positive integer factors of 4560 that divides 4560 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,38,40,48,57,60,76,80,95,114,120,152,190,228,240,285,304,380,456,570,760,912,1140,1520,2280,4560

Greatest Common Factor

We found the factors 5380,4560 . The biggest common factor number is the GCF number.
So the greatest common factor 5380,4560 is 20.

Lets's calculate LCM of 960,127

Given numbers has no common factors except 1. So, there LCM is their product i.e 121920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/121920

Therefore, the GCF of Fractions 5380/960,4560/127 is 20/121920

Least Common Multiple of 960,127 with GCF Formula

Least Common Multiple of 960,127 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 960,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,127) = 1

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

GCF(960,127) x common factors =1 x 1 = 1

LCM(960,127) = ( 960 × 127 ) / 1

LCM(960,127) = 121920 / 1

LCM(960,127) = 121920


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 5380/960, 4560/127

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 5380/960, 4560/127?

Answer: GCF of Numerators as per given numbers 5380/960, 4560/127 is

GCF of Numerators i.e. for 5380,4560 is 20

LCM of denominators i.e. for 960,127 is 121920.

Thus, GCF of Fractions is 20/121920.Finally, GCF of Fractions for 5380/960, 4560/127 is 20/121920.