Greatest Common Factor of 5540/724, 7740/1858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5540/724, 7740/1858

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 5540/724,7740/1858

Given fractions are 5540/724,7740/1858

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 5540,7740

Greatest Common Factor of Numerators i.e. GCF of 5540,7740 is 20 .

LCM of Denominators means LCM of 724,1858 as per the given fractions.

LCM of 724,1858 is 672596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5540,7740

GCF of Fractions 5540/724,7740/1858 is 20/672596

2 5540, 7740
2 2770, 3870
5 1385, 1935
277, 387

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

Greatest Common Factor of 5540,7740 By Matching Biggest Common Factor Method

Greatest Common Factor of 5540,7740 By Matching Biggest Common Factor Method

Factors of 5540

List of positive integer factors of 5540 that divides 5540 without a remainder.

1,2,4,5,10,20,277,554,1108,1385,2770,5540

Factors of 7740

List of positive integer factors of 7740 that divides 7740 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,43,45,60,86,90,129,172,180,215,258,387,430,516,645,774,860,1290,1548,1935,2580,3870,7740

Greatest Common Factor

We found the factors 5540,7740 . The biggest common factor number is the GCF number.
So the greatest common factor 5540,7740 is 20.

Lets's calculate LCM of 724,1858

2 724, 1858
362, 929

∴ So the LCM of the given numbers is 2 x 362 x 929 = 672596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/672596

Therefore, the GCF of Fractions 5540/724,7740/1858 is 20/672596

Least Common Multiple of 724,1858 with GCF Formula

Least Common Multiple of 724,1858 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 724,1858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,1858) = 2

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

GCF(724,1858) x common factors =2 x 1 = 2

LCM(724,1858) = ( 724 × 1858 ) / 2

LCM(724,1858) = 1345192 / 2

LCM(724,1858) = 672596


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 5540/724, 7740/1858

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 5540/724, 7740/1858?

Answer: GCF of Numerators as per given numbers 5540/724, 7740/1858 is

GCF of Numerators i.e. for 5540,7740 is 20

LCM of denominators i.e. for 724,1858 is 672596.

Thus, GCF of Fractions is 20/672596.Finally, GCF of Fractions for 5540/724, 7740/1858 is 20/672596.