Greatest Common Factor of 6307/564, 8234/6085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6307/564, 8234/6085

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 6307/564,8234/6085

Given fractions are 6307/564,8234/6085

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 6307,8234

Greatest Common Factor of Numerators i.e. GCF of 6307,8234 is 1 .

LCM of Denominators means LCM of 564,6085 as per the given fractions.

LCM of 564,6085 is 3431940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6307,8234

GCF of Fractions 6307/564,8234/6085 is 1/3431940

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

Greatest Common Factor of 6307,8234 By Matching Biggest Common Factor Method

Greatest Common Factor of 6307,8234 By Matching Biggest Common Factor Method

Factors of 6307

List of positive integer factors of 6307 that divides 6307 without a remainder.

1,7,17,53,119,371,901,6307

Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1,2,23,46,179,358,4117,8234

Greatest Common Factor

We found the factors 6307,8234 . The biggest common factor number is the GCF number.
So the greatest common factor 6307,8234 is 1.

Lets's calculate LCM of 564,6085

Given numbers has no common factors except 1. So, there LCM is their product i.e 3431940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3431940

Therefore, the GCF of Fractions 6307/564,8234/6085 is 1/3431940

Least Common Multiple of 564,6085 with GCF Formula

Least Common Multiple of 564,6085 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 564,6085 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,6085) = 1

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

GCF(564,6085) x common factors =1 x 1 = 1

LCM(564,6085) = ( 564 × 6085 ) / 1

LCM(564,6085) = 3431940 / 1

LCM(564,6085) = 3431940


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 6307/564, 8234/6085

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 6307/564, 8234/6085?

Answer: GCF of Numerators as per given numbers 6307/564, 8234/6085 is

GCF of Numerators i.e. for 6307,8234 is 1

LCM of denominators i.e. for 564,6085 is 3431940.

Thus, GCF of Fractions is 1/3431940.Finally, GCF of Fractions for 6307/564, 8234/6085 is 1/3431940.