Greatest Common Factor of 5382/351, 7229/5233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5382/351, 7229/5233

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 5382/351,7229/5233

Given fractions are 5382/351,7229/5233

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 5382,7229

Greatest Common Factor of Numerators i.e. GCF of 5382,7229 is 1 .

LCM of Denominators means LCM of 351,5233 as per the given fractions.

LCM of 351,5233 is 1836783 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5382,7229

GCF of Fractions 5382/351,7229/5233 is 1/1836783

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

Greatest Common Factor of 5382,7229 By Matching Biggest Common Factor Method

Greatest Common Factor of 5382,7229 By Matching Biggest Common Factor Method

Factors of 5382

List of positive integer factors of 5382 that divides 5382 without a remainder.

1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382

Factors of 7229

List of positive integer factors of 7229 that divides 7229 without a remainder.

1,7229

Greatest Common Factor

We found the factors 5382,7229 . The biggest common factor number is the GCF number.
So the greatest common factor 5382,7229 is 1.

Lets's calculate LCM of 351,5233

Given numbers has no common factors except 1. So, there LCM is their product i.e 1836783

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1836783

Therefore, the GCF of Fractions 5382/351,7229/5233 is 1/1836783

Least Common Multiple of 351,5233 with GCF Formula

Least Common Multiple of 351,5233 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 351,5233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,5233) = 1

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

GCF(351,5233) x common factors =1 x 1 = 1

LCM(351,5233) = ( 351 × 5233 ) / 1

LCM(351,5233) = 1836783 / 1

LCM(351,5233) = 1836783


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 5382/351, 7229/5233

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 5382/351, 7229/5233?

Answer: GCF of Numerators as per given numbers 5382/351, 7229/5233 is

GCF of Numerators i.e. for 5382,7229 is 1

LCM of denominators i.e. for 351,5233 is 1836783.

Thus, GCF of Fractions is 1/1836783.Finally, GCF of Fractions for 5382/351, 7229/5233 is 1/1836783.