Greatest Common Factor of 4901/238, 1037/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4901/238, 1037/966

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 4901/238,1037/966

Given fractions are 4901/238,1037/966

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 4901,1037

Greatest Common Factor of Numerators i.e. GCF of 4901,1037 is 1 .

LCM of Denominators means LCM of 238,966 as per the given fractions.

LCM of 238,966 is 16422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4901,1037

GCF of Fractions 4901/238,1037/966 is 1/16422

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

Greatest Common Factor of 4901,1037 By Matching Biggest Common Factor Method

Greatest Common Factor of 4901,1037 By Matching Biggest Common Factor Method

Factors of 4901

List of positive integer factors of 4901 that divides 4901 without a remainder.

1,13,29,169,377,4901

Factors of 1037

List of positive integer factors of 1037 that divides 1037 without a remainder.

1,17,61,1037

Greatest Common Factor

We found the factors 4901,1037 . The biggest common factor number is the GCF number.
So the greatest common factor 4901,1037 is 1.

Lets's calculate LCM of 238,966

2 238, 966
7 119, 483
17, 69

∴ So the LCM of the given numbers is 2 x 7 x 17 x 69 = 16422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16422

Therefore, the GCF of Fractions 4901/238,1037/966 is 1/16422

Least Common Multiple of 238,966 with GCF Formula

Least Common Multiple of 238,966 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 238,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,966) = 14

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

GCF(238,966) x common factors =14 x 1 = 14

LCM(238,966) = ( 238 × 966 ) / 14

LCM(238,966) = 229908 / 14

LCM(238,966) = 16422


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 4901/238, 1037/966

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 4901/238, 1037/966?

Answer: GCF of Numerators as per given numbers 4901/238, 1037/966 is

GCF of Numerators i.e. for 4901,1037 is 1

LCM of denominators i.e. for 238,966 is 16422.

Thus, GCF of Fractions is 1/16422.Finally, GCF of Fractions for 4901/238, 1037/966 is 1/16422.