Greatest Common Factor of 9858/74, 7137/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9858/74, 7137/351

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 9858/74,7137/351

Given fractions are 9858/74,7137/351

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 9858,7137

Greatest Common Factor of Numerators i.e. GCF of 9858,7137 is 3 .

LCM of Denominators means LCM of 74,351 as per the given fractions.

LCM of 74,351 is 25974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9858,7137

GCF of Fractions 9858/74,7137/351 is 3/25974

3 9858, 7137
3286, 2379

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9858,7137 By Matching Biggest Common Factor Method

Greatest Common Factor of 9858,7137 By Matching Biggest Common Factor Method

Factors of 9858

List of positive integer factors of 9858 that divides 9858 without a remainder.

1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858

Factors of 7137

List of positive integer factors of 7137 that divides 7137 without a remainder.

1,3,9,13,39,61,117,183,549,793,2379,7137

Greatest Common Factor

We found the factors 9858,7137 . The biggest common factor number is the GCF number.
So the greatest common factor 9858,7137 is 3.

Lets's calculate LCM of 74,351

Given numbers has no common factors except 1. So, there LCM is their product i.e 25974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25974

Therefore, the GCF of Fractions 9858/74,7137/351 is 3/25974

Least Common Multiple of 74,351 with GCF Formula

Least Common Multiple of 74,351 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 74,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,351) = 1

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

GCF(74,351) x common factors =1 x 1 = 1

LCM(74,351) = ( 74 × 351 ) / 1

LCM(74,351) = 25974 / 1

LCM(74,351) = 25974


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 9858/74, 7137/351

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 9858/74, 7137/351?

Answer: GCF of Numerators as per given numbers 9858/74, 7137/351 is

GCF of Numerators i.e. for 9858,7137 is 3

LCM of denominators i.e. for 74,351 is 25974.

Thus, GCF of Fractions is 3/25974.Finally, GCF of Fractions for 9858/74, 7137/351 is 3/25974.