Greatest Common Factor of 7802/462, 8852/6441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7802/462, 8852/6441

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 7802/462,8852/6441

Given fractions are 7802/462,8852/6441

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 7802,8852

Greatest Common Factor of Numerators i.e. GCF of 7802,8852 is 2 .

LCM of Denominators means LCM of 462,6441 as per the given fractions.

LCM of 462,6441 is 991914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7802,8852

GCF of Fractions 7802/462,8852/6441 is 2/991914

2 7802, 8852
3901, 4426

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

Greatest Common Factor of 7802,8852 By Matching Biggest Common Factor Method

Greatest Common Factor of 7802,8852 By Matching Biggest Common Factor Method

Factors of 7802

List of positive integer factors of 7802 that divides 7802 without a remainder.

1,2,47,83,94,166,3901,7802

Factors of 8852

List of positive integer factors of 8852 that divides 8852 without a remainder.

1,2,4,2213,4426,8852

Greatest Common Factor

We found the factors 7802,8852 . The biggest common factor number is the GCF number.
So the greatest common factor 7802,8852 is 2.

Lets's calculate LCM of 462,6441

3 462, 6441
154, 2147

∴ So the LCM of the given numbers is 3 x 154 x 2147 = 991914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/991914

Therefore, the GCF of Fractions 7802/462,8852/6441 is 2/991914

Least Common Multiple of 462,6441 with GCF Formula

Least Common Multiple of 462,6441 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 462,6441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,6441) = 3

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

GCF(462,6441) x common factors =3 x 1 = 3

LCM(462,6441) = ( 462 × 6441 ) / 3

LCM(462,6441) = 2975742 / 3

LCM(462,6441) = 991914


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 7802/462, 8852/6441

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 7802/462, 8852/6441?

Answer: GCF of Numerators as per given numbers 7802/462, 8852/6441 is

GCF of Numerators i.e. for 7802,8852 is 2

LCM of denominators i.e. for 462,6441 is 991914.

Thus, GCF of Fractions is 2/991914.Finally, GCF of Fractions for 7802/462, 8852/6441 is 2/991914.