Greatest Common Factor of 913/42, 774/24, 518/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 913/42, 774/24, 518/481

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 913/42,774/24,518/481

Given fractions are 913/42,774/24,518/481

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 913,774,518

Greatest Common Factor of Numerators i.e. GCF of 913,774,518 is 1 .

LCM of Denominators means LCM of 42,24,481 as per the given fractions.

LCM of 42,24,481 is 80808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 913,774,518

GCF of Fractions 913/42,774/24,518/481 is 1/80808

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 913,774,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,774,518 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 913,774,518 . The biggest common factor number is the GCF number.
So the greatest common factor 913,774,518 is 1.

Lets's calculate LCM of 42,24,481

2 42, 24, 481
3 21, 12, 481
7, 4, 481

∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 481 = 80808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80808

Therefore, the GCF of Fractions 913/42,774/24,518/481 is 1/80808

Least Common Multiple of 42,24,481 with GCF Formula

Least Common Multiple of 42,24,481 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 42,24,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,24,481) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,24,481) x common factors =1 x 6 = 6

LCM(42,24,481) = ( 42 × 24 × 481 ) / 6

LCM(42,24,481) = 484848 / 6

LCM(42,24,481) = 80808


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 913/42, 774/24, 518/481

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 913/42, 774/24, 518/481?

Answer: GCF of Numerators as per given numbers 913/42, 774/24, 518/481 is

GCF of Numerators i.e. for 913,774,518 is 1

LCM of denominators i.e. for 42,24,481 is 80808.

Thus, GCF of Fractions is 1/80808.Finally, GCF of Fractions for 913/42, 774/24, 518/481 is 1/80808.