Greatest Common Factor of 81/314, 78/274, 767/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/314, 78/274, 767/175

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 81/314,78/274,767/175

Given fractions are 81/314,78/274,767/175

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 81,78,767

Greatest Common Factor of Numerators i.e. GCF of 81,78,767 is 1 .

LCM of Denominators means LCM of 314,274,175 as per the given fractions.

LCM of 314,274,175 is 7528150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,78,767

GCF of Fractions 81/314,78/274,767/175 is 1/7528150

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

Greatest Common Factor of 81,78,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,78,767 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 81,78,767 . The biggest common factor number is the GCF number.
So the greatest common factor 81,78,767 is 1.

Lets's calculate LCM of 314,274,175

2 314, 274, 175
157, 137, 175

∴ So the LCM of the given numbers is 2 x 157 x 137 x 175 = 7528150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7528150

Therefore, the GCF of Fractions 81/314,78/274,767/175 is 1/7528150

Least Common Multiple of 314,274,175 with GCF Formula

Least Common Multiple of 314,274,175 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 314,274,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,274,175) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(314,274,175) x common factors =1 x 2 = 2

LCM(314,274,175) = ( 314 × 274 × 175 ) / 2

LCM(314,274,175) = 15056300 / 2

LCM(314,274,175) = 7528150


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 81/314, 78/274, 767/175

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 81/314, 78/274, 767/175?

Answer: GCF of Numerators as per given numbers 81/314, 78/274, 767/175 is

GCF of Numerators i.e. for 81,78,767 is 1

LCM of denominators i.e. for 314,274,175 is 7528150.

Thus, GCF of Fractions is 1/7528150.Finally, GCF of Fractions for 81/314, 78/274, 767/175 is 1/7528150.