Greatest Common Factor of 6239/762, 3649/8765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6239/762, 3649/8765

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 6239/762,3649/8765

Given fractions are 6239/762,3649/8765

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 6239,3649

Greatest Common Factor of Numerators i.e. GCF of 6239,3649 is 1 .

LCM of Denominators means LCM of 762,8765 as per the given fractions.

LCM of 762,8765 is 6678930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6239,3649

GCF of Fractions 6239/762,3649/8765 is 1/6678930

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

Greatest Common Factor of 6239,3649 By Matching Biggest Common Factor Method

Greatest Common Factor of 6239,3649 By Matching Biggest Common Factor Method

Factors of 6239

List of positive integer factors of 6239 that divides 6239 without a remainder.

1,17,367,6239

Factors of 3649

List of positive integer factors of 3649 that divides 3649 without a remainder.

1,41,89,3649

Greatest Common Factor

We found the factors 6239,3649 . The biggest common factor number is the GCF number.
So the greatest common factor 6239,3649 is 1.

Lets's calculate LCM of 762,8765

Given numbers has no common factors except 1. So, there LCM is their product i.e 6678930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6678930

Therefore, the GCF of Fractions 6239/762,3649/8765 is 1/6678930

Least Common Multiple of 762,8765 with GCF Formula

Least Common Multiple of 762,8765 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 762,8765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,8765) = 1

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

GCF(762,8765) x common factors =1 x 1 = 1

LCM(762,8765) = ( 762 × 8765 ) / 1

LCM(762,8765) = 6678930 / 1

LCM(762,8765) = 6678930


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 6239/762, 3649/8765

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 6239/762, 3649/8765?

Answer: GCF of Numerators as per given numbers 6239/762, 3649/8765 is

GCF of Numerators i.e. for 6239,3649 is 1

LCM of denominators i.e. for 762,8765 is 6678930.

Thus, GCF of Fractions is 1/6678930.Finally, GCF of Fractions for 6239/762, 3649/8765 is 1/6678930.