Greatest Common Factor of 4514/777, 9118/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4514/777, 9118/534

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 4514/777,9118/534

Given fractions are 4514/777,9118/534

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 4514,9118

Greatest Common Factor of Numerators i.e. GCF of 4514,9118 is 2 .

LCM of Denominators means LCM of 777,534 as per the given fractions.

LCM of 777,534 is 138306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4514,9118

GCF of Fractions 4514/777,9118/534 is 2/138306

2 4514, 9118
2257, 4559

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

Greatest Common Factor of 4514,9118 By Matching Biggest Common Factor Method

Greatest Common Factor of 4514,9118 By Matching Biggest Common Factor Method

Factors of 4514

List of positive integer factors of 4514 that divides 4514 without a remainder.

1,2,37,61,74,122,2257,4514

Factors of 9118

List of positive integer factors of 9118 that divides 9118 without a remainder.

1,2,47,94,97,194,4559,9118

Greatest Common Factor

We found the factors 4514,9118 . The biggest common factor number is the GCF number.
So the greatest common factor 4514,9118 is 2.

Lets's calculate LCM of 777,534

3 777, 534
259, 178

∴ So the LCM of the given numbers is 3 x 259 x 178 = 138306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138306

Therefore, the GCF of Fractions 4514/777,9118/534 is 2/138306

Least Common Multiple of 777,534 with GCF Formula

Least Common Multiple of 777,534 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 777,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,534) = 3

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

GCF(777,534) x common factors =3 x 1 = 3

LCM(777,534) = ( 777 × 534 ) / 3

LCM(777,534) = 414918 / 3

LCM(777,534) = 138306


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 4514/777, 9118/534

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 4514/777, 9118/534?

Answer: GCF of Numerators as per given numbers 4514/777, 9118/534 is

GCF of Numerators i.e. for 4514,9118 is 2

LCM of denominators i.e. for 777,534 is 138306.

Thus, GCF of Fractions is 2/138306.Finally, GCF of Fractions for 4514/777, 9118/534 is 2/138306.