Greatest Common Factor of 58/64, 97/27, 77/12, 45/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/64, 97/27, 77/12, 45/848

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 58/64,97/27,77/12,45/848

Given fractions are 58/64,97/27,77/12,45/848

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 58,97,77,45

Greatest Common Factor of Numerators i.e. GCF of 58,97,77,45 is 1 .

LCM of Denominators means LCM of 64,27,12,848 as per the given fractions.

LCM of 64,27,12,848 is 91584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,97,77,45

GCF of Fractions 58/64,97/27,77/12,45/848 is 1/91584

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

Greatest Common Factor of 58,97,77,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,97,77,45 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 77

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

1,7,11,77

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 58,97,77,45 . The biggest common factor number is the GCF number.
So the greatest common factor 58,97,77,45 is 1.

Lets's calculate LCM of 64,27,12,848

2 64, 27, 12, 848
2 32, 27, 6, 424
2 16, 27, 3, 212
2 8, 27, 3, 106
3 4, 27, 3, 53
4, 9, 1, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 4 x 9 x 1 x 53 = 91584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91584

Therefore, the GCF of Fractions 58/64,97/27,77/12,45/848 is 1/91584

Least Common Multiple of 64,27,12,848 with GCF Formula

Least Common Multiple of 64,27,12,848 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 64,27,12,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,27,12,848) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(64,27,12,848) x common factors =1 x 192 = 192

LCM(64,27,12,848) = ( 64 × 27 × 12 × 848 ) / 192

LCM(64,27,12,848) = 17584128 / 192

LCM(64,27,12,848) = 91584


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 58/64, 97/27, 77/12, 45/848

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 58/64, 97/27, 77/12, 45/848?

Answer: GCF of Numerators as per given numbers 58/64, 97/27, 77/12, 45/848 is

GCF of Numerators i.e. for 58,97,77,45 is 1

LCM of denominators i.e. for 64,27,12,848 is 91584.

Thus, GCF of Fractions is 1/91584.Finally, GCF of Fractions for 58/64, 97/27, 77/12, 45/848 is 1/91584.