Greatest Common Factor of 71/771, 17/441, 314/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/771, 17/441, 314/678

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 71/771,17/441,314/678

Given fractions are 71/771,17/441,314/678

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 71,17,314

Greatest Common Factor of Numerators i.e. GCF of 71,17,314 is 1 .

LCM of Denominators means LCM of 771,441,678 as per the given fractions.

LCM of 771,441,678 is 25614162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,17,314

GCF of Fractions 71/771,17/441,314/678 is 1/25614162

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

Greatest Common Factor of 71,17,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,17,314 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 71,17,314 . The biggest common factor number is the GCF number.
So the greatest common factor 71,17,314 is 1.

Lets's calculate LCM of 771,441,678

3 771, 441, 678
257, 147, 226

∴ So the LCM of the given numbers is 3 x 257 x 147 x 226 = 25614162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25614162

Therefore, the GCF of Fractions 71/771,17/441,314/678 is 1/25614162

Least Common Multiple of 771,441,678 with GCF Formula

Least Common Multiple of 771,441,678 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 771,441,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,441,678) = 3

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

GCF(771,441,678) x common factors =3 x 3 = 9

LCM(771,441,678) = ( 771 × 441 × 678 ) / 9

LCM(771,441,678) = 230527458 / 9

LCM(771,441,678) = 25614162


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 71/771, 17/441, 314/678

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 71/771, 17/441, 314/678?

Answer: GCF of Numerators as per given numbers 71/771, 17/441, 314/678 is

GCF of Numerators i.e. for 71,17,314 is 1

LCM of denominators i.e. for 771,441,678 is 25614162.

Thus, GCF of Fractions is 1/25614162.Finally, GCF of Fractions for 71/771, 17/441, 314/678 is 1/25614162.