Greatest Common Factor of 5/97, 71/23, 30/690, 146/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/97, 71/23, 30/690, 146/640

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 5/97,71/23,30/690,146/640

Given fractions are 5/97,71/23,30/690,146/640

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 5,71,30,146

Greatest Common Factor of Numerators i.e. GCF of 5,71,30,146 is 1 .

LCM of Denominators means LCM of 97,23,690,640 as per the given fractions.

LCM of 97,23,690,640 is 4283520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,71,30,146

GCF of Fractions 5/97,71/23,30/690,146/640 is 1/4283520

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

Greatest Common Factor of 5,71,30,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,71,30,146 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 5,71,30,146 . The biggest common factor number is the GCF number.
So the greatest common factor 5,71,30,146 is 1.

Lets's calculate LCM of 97,23,690,640

2 97, 23, 690, 640
5 97, 23, 345, 320
23 97, 23, 69, 64
97, 1, 3, 64

∴ So the LCM of the given numbers is 2 x 5 x 23 x 97 x 1 x 3 x 64 = 4283520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4283520

Therefore, the GCF of Fractions 5/97,71/23,30/690,146/640 is 1/4283520

Least Common Multiple of 97,23,690,640 with GCF Formula

Least Common Multiple of 97,23,690,640 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 97,23,690,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,23,690,640) = 1

common factors(in case of two or more numbers have common factors) = 230

GCF(97,23,690,640) x common factors =1 x 230 = 230

LCM(97,23,690,640) = ( 97 × 23 × 690 × 640 ) / 230

LCM(97,23,690,640) = 985209600 / 230

LCM(97,23,690,640) = 4283520


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 5/97, 71/23, 30/690, 146/640

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 5/97, 71/23, 30/690, 146/640?

Answer: GCF of Numerators as per given numbers 5/97, 71/23, 30/690, 146/640 is

GCF of Numerators i.e. for 5,71,30,146 is 1

LCM of denominators i.e. for 97,23,690,640 is 4283520.

Thus, GCF of Fractions is 1/4283520.Finally, GCF of Fractions for 5/97, 71/23, 30/690, 146/640 is 1/4283520.