Greatest Common Factor of 5540/519, 9516/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5540/519, 9516/363

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 5540/519,9516/363

Given fractions are 5540/519,9516/363

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 5540,9516

Greatest Common Factor of Numerators i.e. GCF of 5540,9516 is 4 .

LCM of Denominators means LCM of 519,363 as per the given fractions.

LCM of 519,363 is 62799 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5540,9516

GCF of Fractions 5540/519,9516/363 is 4/62799

2 5540, 9516
2 2770, 4758
1385, 2379

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5540,9516 By Matching Biggest Common Factor Method

Greatest Common Factor of 5540,9516 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 9516

List of positive integer factors of 9516 that divides 9516 without a remainder.

1,2,3,4,6,12,13,26,39,52,61,78,122,156,183,244,366,732,793,1586,2379,3172,4758,9516

Greatest Common Factor

We found the factors 5540,9516 . The biggest common factor number is the GCF number.
So the greatest common factor 5540,9516 is 4.

Lets's calculate LCM of 519,363

3 519, 363
173, 121

∴ So the LCM of the given numbers is 3 x 173 x 121 = 62799

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/62799

Therefore, the GCF of Fractions 5540/519,9516/363 is 4/62799

Least Common Multiple of 519,363 with GCF Formula

Least Common Multiple of 519,363 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 519,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,363) = 3

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

GCF(519,363) x common factors =3 x 1 = 3

LCM(519,363) = ( 519 × 363 ) / 3

LCM(519,363) = 188397 / 3

LCM(519,363) = 62799


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 5540/519, 9516/363

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 5540/519, 9516/363?

Answer: GCF of Numerators as per given numbers 5540/519, 9516/363 is

GCF of Numerators i.e. for 5540,9516 is 4

LCM of denominators i.e. for 519,363 is 62799.

Thus, GCF of Fractions is 4/62799.Finally, GCF of Fractions for 5540/519, 9516/363 is 4/62799.