Greatest Common Factor of 823/875, 7509/3386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 823/875, 7509/3386

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 823/875,7509/3386

Given fractions are 823/875,7509/3386

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 823,7509

Greatest Common Factor of Numerators i.e. GCF of 823,7509 is 1 .

LCM of Denominators means LCM of 875,3386 as per the given fractions.

LCM of 875,3386 is 2962750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 823,7509

GCF of Fractions 823/875,7509/3386 is 1/2962750

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

Greatest Common Factor of 823,7509 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,7509 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 7509

List of positive integer factors of 7509 that divides 7509 without a remainder.

1,3,2503,7509

Greatest Common Factor

We found the factors 823,7509 . The biggest common factor number is the GCF number.
So the greatest common factor 823,7509 is 1.

Lets's calculate LCM of 875,3386

Given numbers has no common factors except 1. So, there LCM is their product i.e 2962750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2962750

Therefore, the GCF of Fractions 823/875,7509/3386 is 1/2962750

Least Common Multiple of 875,3386 with GCF Formula

Least Common Multiple of 875,3386 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 875,3386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,3386) = 1

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

GCF(875,3386) x common factors =1 x 1 = 1

LCM(875,3386) = ( 875 × 3386 ) / 1

LCM(875,3386) = 2962750 / 1

LCM(875,3386) = 2962750


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 823/875, 7509/3386

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 823/875, 7509/3386?

Answer: GCF of Numerators as per given numbers 823/875, 7509/3386 is

GCF of Numerators i.e. for 823,7509 is 1

LCM of denominators i.e. for 875,3386 is 2962750.

Thus, GCF of Fractions is 1/2962750.Finally, GCF of Fractions for 823/875, 7509/3386 is 1/2962750.