Greatest Common Factor of 8/57, 35/44, 67/274, 114/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/57, 35/44, 67/274, 114/812

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 8/57,35/44,67/274,114/812

Given fractions are 8/57,35/44,67/274,114/812

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 8,35,67,114

Greatest Common Factor of Numerators i.e. GCF of 8,35,67,114 is 1 .

LCM of Denominators means LCM of 57,44,274,812 as per the given fractions.

LCM of 57,44,274,812 is 69749988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,35,67,114

GCF of Fractions 8/57,35/44,67/274,114/812 is 1/69749988

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

Greatest Common Factor of 8,35,67,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,35,67,114 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 8,35,67,114 . The biggest common factor number is the GCF number.
So the greatest common factor 8,35,67,114 is 1.

Lets's calculate LCM of 57,44,274,812

2 57, 44, 274, 812
2 57, 22, 137, 406
57, 11, 137, 203

∴ So the LCM of the given numbers is 2 x 2 x 57 x 11 x 137 x 203 = 69749988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69749988

Therefore, the GCF of Fractions 8/57,35/44,67/274,114/812 is 1/69749988

Least Common Multiple of 57,44,274,812 with GCF Formula

Least Common Multiple of 57,44,274,812 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 57,44,274,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,44,274,812) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(57,44,274,812) x common factors =1 x 8 = 8

LCM(57,44,274,812) = ( 57 × 44 × 274 × 812 ) / 8

LCM(57,44,274,812) = 557999904 / 8

LCM(57,44,274,812) = 69749988


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 8/57, 35/44, 67/274, 114/812

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 8/57, 35/44, 67/274, 114/812?

Answer: GCF of Numerators as per given numbers 8/57, 35/44, 67/274, 114/812 is

GCF of Numerators i.e. for 8,35,67,114 is 1

LCM of denominators i.e. for 57,44,274,812 is 69749988.

Thus, GCF of Fractions is 1/69749988.Finally, GCF of Fractions for 8/57, 35/44, 67/274, 114/812 is 1/69749988.