Greatest Common Factor of 1007/315, 6524/8983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1007/315, 6524/8983

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 1007/315,6524/8983

Given fractions are 1007/315,6524/8983

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 1007,6524

Greatest Common Factor of Numerators i.e. GCF of 1007,6524 is 1 .

LCM of Denominators means LCM of 315,8983 as per the given fractions.

LCM of 315,8983 is 2829645 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1007,6524

GCF of Fractions 1007/315,6524/8983 is 1/2829645

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

Greatest Common Factor of 1007,6524 By Matching Biggest Common Factor Method

Greatest Common Factor of 1007,6524 By Matching Biggest Common Factor Method

Factors of 1007

List of positive integer factors of 1007 that divides 1007 without a remainder.

1,19,53,1007

Factors of 6524

List of positive integer factors of 6524 that divides 6524 without a remainder.

1,2,4,7,14,28,233,466,932,1631,3262,6524

Greatest Common Factor

We found the factors 1007,6524 . The biggest common factor number is the GCF number.
So the greatest common factor 1007,6524 is 1.

Lets's calculate LCM of 315,8983

Given numbers has no common factors except 1. So, there LCM is their product i.e 2829645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2829645

Therefore, the GCF of Fractions 1007/315,6524/8983 is 1/2829645

Least Common Multiple of 315,8983 with GCF Formula

Least Common Multiple of 315,8983 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 315,8983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,8983) = 1

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

GCF(315,8983) x common factors =1 x 1 = 1

LCM(315,8983) = ( 315 × 8983 ) / 1

LCM(315,8983) = 2829645 / 1

LCM(315,8983) = 2829645


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 1007/315, 6524/8983

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 1007/315, 6524/8983?

Answer: GCF of Numerators as per given numbers 1007/315, 6524/8983 is

GCF of Numerators i.e. for 1007,6524 is 1

LCM of denominators i.e. for 315,8983 is 2829645.

Thus, GCF of Fractions is 1/2829645.Finally, GCF of Fractions for 1007/315, 6524/8983 is 1/2829645.