Greatest Common Factor of 7665/821, 1451/7684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7665/821, 1451/7684

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 7665/821,1451/7684

Given fractions are 7665/821,1451/7684

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 7665,1451

Greatest Common Factor of Numerators i.e. GCF of 7665,1451 is 1 .

LCM of Denominators means LCM of 821,7684 as per the given fractions.

LCM of 821,7684 is 6308564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7665,1451

GCF of Fractions 7665/821,1451/7684 is 1/6308564

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

Greatest Common Factor of 7665,1451 By Matching Biggest Common Factor Method

Greatest Common Factor of 7665,1451 By Matching Biggest Common Factor Method

Factors of 7665

List of positive integer factors of 7665 that divides 7665 without a remainder.

1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665

Factors of 1451

List of positive integer factors of 1451 that divides 1451 without a remainder.

1,1451

Greatest Common Factor

We found the factors 7665,1451 . The biggest common factor number is the GCF number.
So the greatest common factor 7665,1451 is 1.

Lets's calculate LCM of 821,7684

Given numbers has no common factors except 1. So, there LCM is their product i.e 6308564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6308564

Therefore, the GCF of Fractions 7665/821,1451/7684 is 1/6308564

Least Common Multiple of 821,7684 with GCF Formula

Least Common Multiple of 821,7684 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 821,7684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,7684) = 1

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

GCF(821,7684) x common factors =1 x 1 = 1

LCM(821,7684) = ( 821 × 7684 ) / 1

LCM(821,7684) = 6308564 / 1

LCM(821,7684) = 6308564


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 7665/821, 1451/7684

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 7665/821, 1451/7684?

Answer: GCF of Numerators as per given numbers 7665/821, 1451/7684 is

GCF of Numerators i.e. for 7665,1451 is 1

LCM of denominators i.e. for 821,7684 is 6308564.

Thus, GCF of Fractions is 1/6308564.Finally, GCF of Fractions for 7665/821, 1451/7684 is 1/6308564.