Greatest Common Factor of 11/58, 95/96, 78/64, 82/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/58, 95/96, 78/64, 82/174

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 11/58,95/96,78/64,82/174

Given fractions are 11/58,95/96,78/64,82/174

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 11,95,78,82

Greatest Common Factor of Numerators i.e. GCF of 11,95,78,82 is 1 .

LCM of Denominators means LCM of 58,96,64,174 as per the given fractions.

LCM of 58,96,64,174 is 5568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,95,78,82

GCF of Fractions 11/58,95/96,78/64,82/174 is 1/5568

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

Greatest Common Factor of 11,95,78,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,95,78,82 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 11,95,78,82 . The biggest common factor number is the GCF number.
So the greatest common factor 11,95,78,82 is 1.

Lets's calculate LCM of 58,96,64,174

2 58, 96, 64, 174
2 29, 48, 32, 87
2 29, 24, 16, 87
2 29, 12, 8, 87
2 29, 6, 4, 87
3 29, 3, 2, 87
29 29, 1, 2, 29
1, 1, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 29 x 1 x 1 x 2 x 1 = 5568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5568

Therefore, the GCF of Fractions 11/58,95/96,78/64,82/174 is 1/5568

Least Common Multiple of 58,96,64,174 with GCF Formula

Least Common Multiple of 58,96,64,174 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 58,96,64,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,96,64,174) = 2

common factors(in case of two or more numbers have common factors) = 5568

GCF(58,96,64,174) x common factors =2 x 5568 = 11136

LCM(58,96,64,174) = ( 58 × 96 × 64 × 174 ) / 11136

LCM(58,96,64,174) = 62005248 / 11136

LCM(58,96,64,174) = 5568


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 11/58, 95/96, 78/64, 82/174

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 11/58, 95/96, 78/64, 82/174?

Answer: GCF of Numerators as per given numbers 11/58, 95/96, 78/64, 82/174 is

GCF of Numerators i.e. for 11,95,78,82 is 1

LCM of denominators i.e. for 58,96,64,174 is 5568.

Thus, GCF of Fractions is 1/5568.Finally, GCF of Fractions for 11/58, 95/96, 78/64, 82/174 is 1/5568.