Greatest Common Factor of 5679/822, 9203/4196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5679/822, 9203/4196

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 5679/822,9203/4196

Given fractions are 5679/822,9203/4196

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 5679,9203

Greatest Common Factor of Numerators i.e. GCF of 5679,9203 is 1 .

LCM of Denominators means LCM of 822,4196 as per the given fractions.

LCM of 822,4196 is 1724556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5679,9203

GCF of Fractions 5679/822,9203/4196 is 1/1724556

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

Greatest Common Factor of 5679,9203 By Matching Biggest Common Factor Method

Greatest Common Factor of 5679,9203 By Matching Biggest Common Factor Method

Factors of 5679

List of positive integer factors of 5679 that divides 5679 without a remainder.

1,3,9,631,1893,5679

Factors of 9203

List of positive integer factors of 9203 that divides 9203 without a remainder.

1,9203

Greatest Common Factor

We found the factors 5679,9203 . The biggest common factor number is the GCF number.
So the greatest common factor 5679,9203 is 1.

Lets's calculate LCM of 822,4196

2 822, 4196
411, 2098

∴ So the LCM of the given numbers is 2 x 411 x 2098 = 1724556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1724556

Therefore, the GCF of Fractions 5679/822,9203/4196 is 1/1724556

Least Common Multiple of 822,4196 with GCF Formula

Least Common Multiple of 822,4196 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 822,4196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,4196) = 2

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

GCF(822,4196) x common factors =2 x 1 = 2

LCM(822,4196) = ( 822 × 4196 ) / 2

LCM(822,4196) = 3449112 / 2

LCM(822,4196) = 1724556


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 5679/822, 9203/4196

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 5679/822, 9203/4196?

Answer: GCF of Numerators as per given numbers 5679/822, 9203/4196 is

GCF of Numerators i.e. for 5679,9203 is 1

LCM of denominators i.e. for 822,4196 is 1724556.

Thus, GCF of Fractions is 1/1724556.Finally, GCF of Fractions for 5679/822, 9203/4196 is 1/1724556.