Greatest Common Factor of 97/56, 12/25, 19/93, 18/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/56, 12/25, 19/93, 18/608

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 97/56,12/25,19/93,18/608

Given fractions are 97/56,12/25,19/93,18/608

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 97,12,19,18

Greatest Common Factor of Numerators i.e. GCF of 97,12,19,18 is 1 .

LCM of Denominators means LCM of 56,25,93,608 as per the given fractions.

LCM of 56,25,93,608 is 9895200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,12,19,18

GCF of Fractions 97/56,12/25,19/93,18/608 is 1/9895200

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

Greatest Common Factor of 97,12,19,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,12,19,18 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 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 97,12,19,18 . The biggest common factor number is the GCF number.
So the greatest common factor 97,12,19,18 is 1.

Lets's calculate LCM of 56,25,93,608

2 56, 25, 93, 608
2 28, 25, 93, 304
2 14, 25, 93, 152
7, 25, 93, 76

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 25 x 93 x 76 = 9895200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9895200

Therefore, the GCF of Fractions 97/56,12/25,19/93,18/608 is 1/9895200

Least Common Multiple of 56,25,93,608 with GCF Formula

Least Common Multiple of 56,25,93,608 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 56,25,93,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,25,93,608) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(56,25,93,608) x common factors =1 x 8 = 8

LCM(56,25,93,608) = ( 56 × 25 × 93 × 608 ) / 8

LCM(56,25,93,608) = 79161600 / 8

LCM(56,25,93,608) = 9895200


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 97/56, 12/25, 19/93, 18/608

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 97/56, 12/25, 19/93, 18/608?

Answer: GCF of Numerators as per given numbers 97/56, 12/25, 19/93, 18/608 is

GCF of Numerators i.e. for 97,12,19,18 is 1

LCM of denominators i.e. for 56,25,93,608 is 9895200.

Thus, GCF of Fractions is 1/9895200.Finally, GCF of Fractions for 97/56, 12/25, 19/93, 18/608 is 1/9895200.