Greatest Common Factor of 8439/42, 9874/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8439/42, 9874/122

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 8439/42,9874/122

Given fractions are 8439/42,9874/122

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 8439,9874

Greatest Common Factor of Numerators i.e. GCF of 8439,9874 is 1 .

LCM of Denominators means LCM of 42,122 as per the given fractions.

LCM of 42,122 is 2562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8439,9874

GCF of Fractions 8439/42,9874/122 is 1/2562

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

Greatest Common Factor of 8439,9874 By Matching Biggest Common Factor Method

Greatest Common Factor of 8439,9874 By Matching Biggest Common Factor Method

Factors of 8439

List of positive integer factors of 8439 that divides 8439 without a remainder.

1,3,29,87,97,291,2813,8439

Factors of 9874

List of positive integer factors of 9874 that divides 9874 without a remainder.

1,2,4937,9874

Greatest Common Factor

We found the factors 8439,9874 . The biggest common factor number is the GCF number.
So the greatest common factor 8439,9874 is 1.

Lets's calculate LCM of 42,122

2 42, 122
21, 61

∴ So the LCM of the given numbers is 2 x 21 x 61 = 2562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2562

Therefore, the GCF of Fractions 8439/42,9874/122 is 1/2562

Least Common Multiple of 42,122 with GCF Formula

Least Common Multiple of 42,122 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 42,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,122) = 2

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

GCF(42,122) x common factors =2 x 1 = 2

LCM(42,122) = ( 42 × 122 ) / 2

LCM(42,122) = 5124 / 2

LCM(42,122) = 2562


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 8439/42, 9874/122

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 8439/42, 9874/122?

Answer: GCF of Numerators as per given numbers 8439/42, 9874/122 is

GCF of Numerators i.e. for 8439,9874 is 1

LCM of denominators i.e. for 42,122 is 2562.

Thus, GCF of Fractions is 1/2562.Finally, GCF of Fractions for 8439/42, 9874/122 is 1/2562.