Greatest Common Factor of 8842/820, 4042/6414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8842/820, 4042/6414

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 8842/820,4042/6414

Given fractions are 8842/820,4042/6414

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 8842,4042

Greatest Common Factor of Numerators i.e. GCF of 8842,4042 is 2 .

LCM of Denominators means LCM of 820,6414 as per the given fractions.

LCM of 820,6414 is 2629740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8842,4042

GCF of Fractions 8842/820,4042/6414 is 2/2629740

2 8842, 4042
4421, 2021

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8842,4042 By Matching Biggest Common Factor Method

Greatest Common Factor of 8842,4042 By Matching Biggest Common Factor Method

Factors of 8842

List of positive integer factors of 8842 that divides 8842 without a remainder.

1,2,4421,8842

Factors of 4042

List of positive integer factors of 4042 that divides 4042 without a remainder.

1,2,43,47,86,94,2021,4042

Greatest Common Factor

We found the factors 8842,4042 . The biggest common factor number is the GCF number.
So the greatest common factor 8842,4042 is 2.

Lets's calculate LCM of 820,6414

2 820, 6414
410, 3207

∴ So the LCM of the given numbers is 2 x 410 x 3207 = 2629740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2629740

Therefore, the GCF of Fractions 8842/820,4042/6414 is 2/2629740

Least Common Multiple of 820,6414 with GCF Formula

Least Common Multiple of 820,6414 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 820,6414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,6414) = 2

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

GCF(820,6414) x common factors =2 x 1 = 2

LCM(820,6414) = ( 820 × 6414 ) / 2

LCM(820,6414) = 5259480 / 2

LCM(820,6414) = 2629740


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 8842/820, 4042/6414

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 8842/820, 4042/6414?

Answer: GCF of Numerators as per given numbers 8842/820, 4042/6414 is

GCF of Numerators i.e. for 8842,4042 is 2

LCM of denominators i.e. for 820,6414 is 2629740.

Thus, GCF of Fractions is 2/2629740.Finally, GCF of Fractions for 8842/820, 4042/6414 is 2/2629740.