Greatest Common Factor of 9892/258, 4839/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9892/258, 4839/122

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 9892/258,4839/122

Given fractions are 9892/258,4839/122

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 9892,4839

Greatest Common Factor of Numerators i.e. GCF of 9892,4839 is 1 .

LCM of Denominators means LCM of 258,122 as per the given fractions.

LCM of 258,122 is 15738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9892,4839

GCF of Fractions 9892/258,4839/122 is 1/15738

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

Greatest Common Factor of 9892,4839 By Matching Biggest Common Factor Method

Greatest Common Factor of 9892,4839 By Matching Biggest Common Factor Method

Factors of 9892

List of positive integer factors of 9892 that divides 9892 without a remainder.

1,2,4,2473,4946,9892

Factors of 4839

List of positive integer factors of 4839 that divides 4839 without a remainder.

1,3,1613,4839

Greatest Common Factor

We found the factors 9892,4839 . The biggest common factor number is the GCF number.
So the greatest common factor 9892,4839 is 1.

Lets's calculate LCM of 258,122

2 258, 122
129, 61

∴ So the LCM of the given numbers is 2 x 129 x 61 = 15738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15738

Therefore, the GCF of Fractions 9892/258,4839/122 is 1/15738

Least Common Multiple of 258,122 with GCF Formula

Least Common Multiple of 258,122 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 258,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,122) = 2

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

GCF(258,122) x common factors =2 x 1 = 2

LCM(258,122) = ( 258 × 122 ) / 2

LCM(258,122) = 31476 / 2

LCM(258,122) = 15738


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 9892/258, 4839/122

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 9892/258, 4839/122?

Answer: GCF of Numerators as per given numbers 9892/258, 4839/122 is

GCF of Numerators i.e. for 9892,4839 is 1

LCM of denominators i.e. for 258,122 is 15738.

Thus, GCF of Fractions is 1/15738.Finally, GCF of Fractions for 9892/258, 4839/122 is 1/15738.