Greatest Common Factor of 38/61, 23/97, 302/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/61, 23/97, 302/983

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 38/61,23/97,302/983

Given fractions are 38/61,23/97,302/983

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 38,23,302

Greatest Common Factor of Numerators i.e. GCF of 38,23,302 is 1 .

LCM of Denominators means LCM of 61,97,983 as per the given fractions.

LCM of 61,97,983 is 5816411 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,23,302

GCF of Fractions 38/61,23/97,302/983 is 1/5816411

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

Greatest Common Factor of 38,23,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,23,302 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 38,23,302 . The biggest common factor number is the GCF number.
So the greatest common factor 38,23,302 is 1.

Lets's calculate LCM of 61,97,983

Given numbers has no common factors except 1. So, there LCM is their product i.e 5816411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5816411

Therefore, the GCF of Fractions 38/61,23/97,302/983 is 1/5816411

Least Common Multiple of 61,97,983 with GCF Formula

Least Common Multiple of 61,97,983 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 61,97,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,97,983) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(61,97,983) x common factors =1 x 1 = 1

LCM(61,97,983) = ( 61 × 97 × 983 ) / 1

LCM(61,97,983) = 5816411 / 1

LCM(61,97,983) = 5816411


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 38/61, 23/97, 302/983

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 38/61, 23/97, 302/983?

Answer: GCF of Numerators as per given numbers 38/61, 23/97, 302/983 is

GCF of Numerators i.e. for 38,23,302 is 1

LCM of denominators i.e. for 61,97,983 is 5816411.

Thus, GCF of Fractions is 1/5816411.Finally, GCF of Fractions for 38/61, 23/97, 302/983 is 1/5816411.