Greatest Common Factor of 8351/524, 3502/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8351/524, 3502/969

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 8351/524,3502/969

Given fractions are 8351/524,3502/969

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 8351,3502

Greatest Common Factor of Numerators i.e. GCF of 8351,3502 is 1 .

LCM of Denominators means LCM of 524,969 as per the given fractions.

LCM of 524,969 is 507756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8351,3502

GCF of Fractions 8351/524,3502/969 is 1/507756

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

Greatest Common Factor of 8351,3502 By Matching Biggest Common Factor Method

Greatest Common Factor of 8351,3502 By Matching Biggest Common Factor Method

Factors of 8351

List of positive integer factors of 8351 that divides 8351 without a remainder.

1,7,1193,8351

Factors of 3502

List of positive integer factors of 3502 that divides 3502 without a remainder.

1,2,17,34,103,206,1751,3502

Greatest Common Factor

We found the factors 8351,3502 . The biggest common factor number is the GCF number.
So the greatest common factor 8351,3502 is 1.

Lets's calculate LCM of 524,969

Given numbers has no common factors except 1. So, there LCM is their product i.e 507756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/507756

Therefore, the GCF of Fractions 8351/524,3502/969 is 1/507756

Least Common Multiple of 524,969 with GCF Formula

Least Common Multiple of 524,969 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 524,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,969) = 1

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

GCF(524,969) x common factors =1 x 1 = 1

LCM(524,969) = ( 524 × 969 ) / 1

LCM(524,969) = 507756 / 1

LCM(524,969) = 507756


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 8351/524, 3502/969

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 8351/524, 3502/969?

Answer: GCF of Numerators as per given numbers 8351/524, 3502/969 is

GCF of Numerators i.e. for 8351,3502 is 1

LCM of denominators i.e. for 524,969 is 507756.

Thus, GCF of Fractions is 1/507756.Finally, GCF of Fractions for 8351/524, 3502/969 is 1/507756.