Greatest Common Factor of 7829/272, 6162/5609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7829/272, 6162/5609

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 7829/272,6162/5609

Given fractions are 7829/272,6162/5609

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 7829,6162

Greatest Common Factor of Numerators i.e. GCF of 7829,6162 is 1 .

LCM of Denominators means LCM of 272,5609 as per the given fractions.

LCM of 272,5609 is 1525648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7829,6162

GCF of Fractions 7829/272,6162/5609 is 1/1525648

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

Greatest Common Factor of 7829,6162 By Matching Biggest Common Factor Method

Greatest Common Factor of 7829,6162 By Matching Biggest Common Factor Method

Factors of 7829

List of positive integer factors of 7829 that divides 7829 without a remainder.

1,7829

Factors of 6162

List of positive integer factors of 6162 that divides 6162 without a remainder.

1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162

Greatest Common Factor

We found the factors 7829,6162 . The biggest common factor number is the GCF number.
So the greatest common factor 7829,6162 is 1.

Lets's calculate LCM of 272,5609

Given numbers has no common factors except 1. So, there LCM is their product i.e 1525648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1525648

Therefore, the GCF of Fractions 7829/272,6162/5609 is 1/1525648

Least Common Multiple of 272,5609 with GCF Formula

Least Common Multiple of 272,5609 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 272,5609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,5609) = 1

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

GCF(272,5609) x common factors =1 x 1 = 1

LCM(272,5609) = ( 272 × 5609 ) / 1

LCM(272,5609) = 1525648 / 1

LCM(272,5609) = 1525648


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 7829/272, 6162/5609

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 7829/272, 6162/5609?

Answer: GCF of Numerators as per given numbers 7829/272, 6162/5609 is

GCF of Numerators i.e. for 7829,6162 is 1

LCM of denominators i.e. for 272,5609 is 1525648.

Thus, GCF of Fractions is 1/1525648.Finally, GCF of Fractions for 7829/272, 6162/5609 is 1/1525648.