Greatest Common Factor of 14/93, 60/25, 56/78, 77/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/93, 60/25, 56/78, 77/317

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 14/93,60/25,56/78,77/317

Given fractions are 14/93,60/25,56/78,77/317

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 14,60,56,77

Greatest Common Factor of Numerators i.e. GCF of 14,60,56,77 is 1 .

LCM of Denominators means LCM of 93,25,78,317 as per the given fractions.

LCM of 93,25,78,317 is 19162650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,60,56,77

GCF of Fractions 14/93,60/25,56/78,77/317 is 1/19162650

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

Greatest Common Factor of 14,60,56,77 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,60,56,77 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Greatest Common Factor

We found the factors 14,60,56,77 . The biggest common factor number is the GCF number.
So the greatest common factor 14,60,56,77 is 1.

Lets's calculate LCM of 93,25,78,317

3 93, 25, 78, 317
31, 25, 26, 317

∴ So the LCM of the given numbers is 3 x 31 x 25 x 26 x 317 = 19162650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19162650

Therefore, the GCF of Fractions 14/93,60/25,56/78,77/317 is 1/19162650

Least Common Multiple of 93,25,78,317 with GCF Formula

Least Common Multiple of 93,25,78,317 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 93,25,78,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,25,78,317) = 1

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

GCF(93,25,78,317) x common factors =1 x 3 = 3

LCM(93,25,78,317) = ( 93 × 25 × 78 × 317 ) / 3

LCM(93,25,78,317) = 57487950 / 3

LCM(93,25,78,317) = 19162650


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 14/93, 60/25, 56/78, 77/317

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 14/93, 60/25, 56/78, 77/317?

Answer: GCF of Numerators as per given numbers 14/93, 60/25, 56/78, 77/317 is

GCF of Numerators i.e. for 14,60,56,77 is 1

LCM of denominators i.e. for 93,25,78,317 is 19162650.

Thus, GCF of Fractions is 1/19162650.Finally, GCF of Fractions for 14/93, 60/25, 56/78, 77/317 is 1/19162650.