Greatest Common Factor of 8/77, 78/51, 15/638, 281/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/77, 78/51, 15/638, 281/958

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 8/77,78/51,15/638,281/958

Given fractions are 8/77,78/51,15/638,281/958

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 8,78,15,281

Greatest Common Factor of Numerators i.e. GCF of 8,78,15,281 is 1 .

LCM of Denominators means LCM of 77,51,638,958 as per the given fractions.

LCM of 77,51,638,958 is 109099914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,78,15,281

GCF of Fractions 8/77,78/51,15/638,281/958 is 1/109099914

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

Greatest Common Factor of 8,78,15,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,78,15,281 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 78

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

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

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 8,78,15,281 . The biggest common factor number is the GCF number.
So the greatest common factor 8,78,15,281 is 1.

Lets's calculate LCM of 77,51,638,958

2 77, 51, 638, 958
11 77, 51, 319, 479
7, 51, 29, 479

∴ So the LCM of the given numbers is 2 x 11 x 7 x 51 x 29 x 479 = 109099914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109099914

Therefore, the GCF of Fractions 8/77,78/51,15/638,281/958 is 1/109099914

Least Common Multiple of 77,51,638,958 with GCF Formula

Least Common Multiple of 77,51,638,958 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 77,51,638,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,51,638,958) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(77,51,638,958) x common factors =1 x 22 = 22

LCM(77,51,638,958) = ( 77 × 51 × 638 × 958 ) / 22

LCM(77,51,638,958) = 2400198108 / 22

LCM(77,51,638,958) = 109099914


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 8/77, 78/51, 15/638, 281/958

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 8/77, 78/51, 15/638, 281/958?

Answer: GCF of Numerators as per given numbers 8/77, 78/51, 15/638, 281/958 is

GCF of Numerators i.e. for 8,78,15,281 is 1

LCM of denominators i.e. for 77,51,638,958 is 109099914.

Thus, GCF of Fractions is 1/109099914.Finally, GCF of Fractions for 8/77, 78/51, 15/638, 281/958 is 1/109099914.