Greatest Common Factor of 278/317, 927/774, 142/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 278/317, 927/774, 142/104

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 278/317,927/774,142/104

Given fractions are 278/317,927/774,142/104

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 278,927,142

Greatest Common Factor of Numerators i.e. GCF of 278,927,142 is 1 .

LCM of Denominators means LCM of 317,774,104 as per the given fractions.

LCM of 317,774,104 is 12758616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 278,927,142

GCF of Fractions 278/317,927/774,142/104 is 1/12758616

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

Greatest Common Factor of 278,927,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,927,142 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 278,927,142 . The biggest common factor number is the GCF number.
So the greatest common factor 278,927,142 is 1.

Lets's calculate LCM of 317,774,104

2 317, 774, 104
317, 387, 52

∴ So the LCM of the given numbers is 2 x 317 x 387 x 52 = 12758616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12758616

Therefore, the GCF of Fractions 278/317,927/774,142/104 is 1/12758616

Least Common Multiple of 317,774,104 with GCF Formula

Least Common Multiple of 317,774,104 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 317,774,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,774,104) = 1

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

GCF(317,774,104) x common factors =1 x 2 = 2

LCM(317,774,104) = ( 317 × 774 × 104 ) / 2

LCM(317,774,104) = 25517232 / 2

LCM(317,774,104) = 12758616


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 278/317, 927/774, 142/104

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 278/317, 927/774, 142/104?

Answer: GCF of Numerators as per given numbers 278/317, 927/774, 142/104 is

GCF of Numerators i.e. for 278,927,142 is 1

LCM of denominators i.e. for 317,774,104 is 12758616.

Thus, GCF of Fractions is 1/12758616.Finally, GCF of Fractions for 278/317, 927/774, 142/104 is 1/12758616.