Greatest Common Factor of 97/24, 12/24, 58/64, 32/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/24, 12/24, 58/64, 32/190

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 97/24,12/24,58/64,32/190

Given fractions are 97/24,12/24,58/64,32/190

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 97,12,58,32

Greatest Common Factor of Numerators i.e. GCF of 97,12,58,32 is 1 .

LCM of Denominators means LCM of 24,24,64,190 as per the given fractions.

LCM of 24,24,64,190 is 18240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,12,58,32

GCF of Fractions 97/24,12/24,58/64,32/190 is 1/18240

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

Greatest Common Factor of 97,12,58,32 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,12,58,32 By Matching Biggest Common Factor Method

Factors of 97

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

1,97

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 58

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

1,2,29,58

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Greatest Common Factor

We found the factors 97,12,58,32 . The biggest common factor number is the GCF number.
So the greatest common factor 97,12,58,32 is 1.

Lets's calculate LCM of 24,24,64,190

2 24, 24, 64, 190
2 12, 12, 32, 95
2 6, 6, 16, 95
3 3, 3, 8, 95
1, 1, 8, 95

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 1 x 8 x 95 = 18240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18240

Therefore, the GCF of Fractions 97/24,12/24,58/64,32/190 is 1/18240

Least Common Multiple of 24,24,64,190 with GCF Formula

Least Common Multiple of 24,24,64,190 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 24,24,64,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,24,64,190) = 2

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

GCF(24,24,64,190) x common factors =2 x 192 = 384

LCM(24,24,64,190) = ( 24 × 24 × 64 × 190 ) / 384

LCM(24,24,64,190) = 7004160 / 384

LCM(24,24,64,190) = 18240


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 97/24, 12/24, 58/64, 32/190

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 97/24, 12/24, 58/64, 32/190?

Answer: GCF of Numerators as per given numbers 97/24, 12/24, 58/64, 32/190 is

GCF of Numerators i.e. for 97,12,58,32 is 1

LCM of denominators i.e. for 24,24,64,190 is 18240.

Thus, GCF of Fractions is 1/18240.Finally, GCF of Fractions for 97/24, 12/24, 58/64, 32/190 is 1/18240.