Greatest Common Factor of 7902/533, 6423/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7902/533, 6423/922

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 7902/533,6423/922

Given fractions are 7902/533,6423/922

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 7902,6423

Greatest Common Factor of Numerators i.e. GCF of 7902,6423 is 3 .

LCM of Denominators means LCM of 533,922 as per the given fractions.

LCM of 533,922 is 491426 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7902,6423

GCF of Fractions 7902/533,6423/922 is 3/491426

3 7902, 6423
2634, 2141

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

Greatest Common Factor of 7902,6423 By Matching Biggest Common Factor Method

Greatest Common Factor of 7902,6423 By Matching Biggest Common Factor Method

Factors of 7902

List of positive integer factors of 7902 that divides 7902 without a remainder.

1,2,3,6,9,18,439,878,1317,2634,3951,7902

Factors of 6423

List of positive integer factors of 6423 that divides 6423 without a remainder.

1,3,2141,6423

Greatest Common Factor

We found the factors 7902,6423 . The biggest common factor number is the GCF number.
So the greatest common factor 7902,6423 is 3.

Lets's calculate LCM of 533,922

Given numbers has no common factors except 1. So, there LCM is their product i.e 491426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/491426

Therefore, the GCF of Fractions 7902/533,6423/922 is 3/491426

Least Common Multiple of 533,922 with GCF Formula

Least Common Multiple of 533,922 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 533,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,922) = 1

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

GCF(533,922) x common factors =1 x 1 = 1

LCM(533,922) = ( 533 × 922 ) / 1

LCM(533,922) = 491426 / 1

LCM(533,922) = 491426


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 7902/533, 6423/922

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 7902/533, 6423/922?

Answer: GCF of Numerators as per given numbers 7902/533, 6423/922 is

GCF of Numerators i.e. for 7902,6423 is 3

LCM of denominators i.e. for 533,922 is 491426.

Thus, GCF of Fractions is 3/491426.Finally, GCF of Fractions for 7902/533, 6423/922 is 3/491426.