Greatest Common Factor of 242/864, 974/255, 534/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 242/864, 974/255, 534/863

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 242/864,974/255,534/863

Given fractions are 242/864,974/255,534/863

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 242,974,534

Greatest Common Factor of Numerators i.e. GCF of 242,974,534 is 2 .

LCM of Denominators means LCM of 864,255,863 as per the given fractions.

LCM of 864,255,863 is 63378720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 242,974,534

GCF of Fractions 242/864,974/255,534/863 is 2/63378720

2 242, 974, 534
121, 487, 267

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

Greatest Common Factor of 242,974,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,974,534 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 242,974,534 . The biggest common factor number is the GCF number.
So the greatest common factor 242,974,534 is 2.

Lets's calculate LCM of 864,255,863

3 864, 255, 863
288, 85, 863

∴ So the LCM of the given numbers is 3 x 288 x 85 x 863 = 63378720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63378720

Therefore, the GCF of Fractions 242/864,974/255,534/863 is 2/63378720

Least Common Multiple of 864,255,863 with GCF Formula

Least Common Multiple of 864,255,863 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 864,255,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,255,863) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(864,255,863) x common factors =1 x 3 = 3

LCM(864,255,863) = ( 864 × 255 × 863 ) / 3

LCM(864,255,863) = 190136160 / 3

LCM(864,255,863) = 63378720


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 242/864, 974/255, 534/863

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 242/864, 974/255, 534/863?

Answer: GCF of Numerators as per given numbers 242/864, 974/255, 534/863 is

GCF of Numerators i.e. for 242,974,534 is 2

LCM of denominators i.e. for 864,255,863 is 63378720.

Thus, GCF of Fractions is 2/63378720.Finally, GCF of Fractions for 242/864, 974/255, 534/863 is 2/63378720.