Greatest Common Factor of 615/53, 5358/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/53, 5358/780

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 615/53,5358/780

Given fractions are 615/53,5358/780

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 615,5358

Greatest Common Factor of Numerators i.e. GCF of 615,5358 is 3 .

LCM of Denominators means LCM of 53,780 as per the given fractions.

LCM of 53,780 is 41340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,5358

GCF of Fractions 615/53,5358/780 is 3/41340

3 615, 5358
205, 1786

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

Greatest Common Factor of 615,5358 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,5358 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 5358

List of positive integer factors of 5358 that divides 5358 without a remainder.

1,2,3,6,19,38,47,57,94,114,141,282,893,1786,2679,5358

Greatest Common Factor

We found the factors 615,5358 . The biggest common factor number is the GCF number.
So the greatest common factor 615,5358 is 3.

Lets's calculate LCM of 53,780

Given numbers has no common factors except 1. So, there LCM is their product i.e 41340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41340

Therefore, the GCF of Fractions 615/53,5358/780 is 3/41340

Least Common Multiple of 53,780 with GCF Formula

Least Common Multiple of 53,780 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 53,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,780) = 1

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

GCF(53,780) x common factors =1 x 1 = 1

LCM(53,780) = ( 53 × 780 ) / 1

LCM(53,780) = 41340 / 1

LCM(53,780) = 41340


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 615/53, 5358/780

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 615/53, 5358/780?

Answer: GCF of Numerators as per given numbers 615/53, 5358/780 is

GCF of Numerators i.e. for 615,5358 is 3

LCM of denominators i.e. for 53,780 is 41340.

Thus, GCF of Fractions is 3/41340.Finally, GCF of Fractions for 615/53, 5358/780 is 3/41340.