Greatest Common Factor of 5648/570, 1558/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5648/570, 1558/540

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 5648/570,1558/540

Given fractions are 5648/570,1558/540

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 5648,1558

Greatest Common Factor of Numerators i.e. GCF of 5648,1558 is 2 .

LCM of Denominators means LCM of 570,540 as per the given fractions.

LCM of 570,540 is 10260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5648,1558

GCF of Fractions 5648/570,1558/540 is 2/10260

2 5648, 1558
2824, 779

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5648,1558 By Matching Biggest Common Factor Method

Greatest Common Factor of 5648,1558 By Matching Biggest Common Factor Method

Factors of 5648

List of positive integer factors of 5648 that divides 5648 without a remainder.

1,2,4,8,16,353,706,1412,2824,5648

Factors of 1558

List of positive integer factors of 1558 that divides 1558 without a remainder.

1,2,19,38,41,82,779,1558

Greatest Common Factor

We found the factors 5648,1558 . The biggest common factor number is the GCF number.
So the greatest common factor 5648,1558 is 2.

Lets's calculate LCM of 570,540

2 570, 540
3 285, 270
5 95, 90
19, 18

∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 18 = 10260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10260

Therefore, the GCF of Fractions 5648/570,1558/540 is 2/10260

Least Common Multiple of 570,540 with GCF Formula

Least Common Multiple of 570,540 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 570,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,540) = 30

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

GCF(570,540) x common factors =30 x 1 = 30

LCM(570,540) = ( 570 × 540 ) / 30

LCM(570,540) = 307800 / 30

LCM(570,540) = 10260


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 5648/570, 1558/540

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 5648/570, 1558/540?

Answer: GCF of Numerators as per given numbers 5648/570, 1558/540 is

GCF of Numerators i.e. for 5648,1558 is 2

LCM of denominators i.e. for 570,540 is 10260.

Thus, GCF of Fractions is 2/10260.Finally, GCF of Fractions for 5648/570, 1558/540 is 2/10260.