Greatest Common Factor of 6258/82, 7649/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6258/82, 7649/365

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 6258/82,7649/365

Given fractions are 6258/82,7649/365

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 6258,7649

Greatest Common Factor of Numerators i.e. GCF of 6258,7649 is 1 .

LCM of Denominators means LCM of 82,365 as per the given fractions.

LCM of 82,365 is 29930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6258,7649

GCF of Fractions 6258/82,7649/365 is 1/29930

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

Greatest Common Factor of 6258,7649 By Matching Biggest Common Factor Method

Greatest Common Factor of 6258,7649 By Matching Biggest Common Factor Method

Factors of 6258

List of positive integer factors of 6258 that divides 6258 without a remainder.

1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258

Factors of 7649

List of positive integer factors of 7649 that divides 7649 without a remainder.

1,7649

Greatest Common Factor

We found the factors 6258,7649 . The biggest common factor number is the GCF number.
So the greatest common factor 6258,7649 is 1.

Lets's calculate LCM of 82,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 29930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29930

Therefore, the GCF of Fractions 6258/82,7649/365 is 1/29930

Least Common Multiple of 82,365 with GCF Formula

Least Common Multiple of 82,365 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 82,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,365) = 1

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

GCF(82,365) x common factors =1 x 1 = 1

LCM(82,365) = ( 82 × 365 ) / 1

LCM(82,365) = 29930 / 1

LCM(82,365) = 29930


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 6258/82, 7649/365

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 6258/82, 7649/365?

Answer: GCF of Numerators as per given numbers 6258/82, 7649/365 is

GCF of Numerators i.e. for 6258,7649 is 1

LCM of denominators i.e. for 82,365 is 29930.

Thus, GCF of Fractions is 1/29930.Finally, GCF of Fractions for 6258/82, 7649/365 is 1/29930.