Greatest Common Factor of 7889/654, 1775/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7889/654, 1775/686

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 7889/654,1775/686

Given fractions are 7889/654,1775/686

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 7889,1775

Greatest Common Factor of Numerators i.e. GCF of 7889,1775 is 1 .

LCM of Denominators means LCM of 654,686 as per the given fractions.

LCM of 654,686 is 224322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7889,1775

GCF of Fractions 7889/654,1775/686 is 1/224322

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

Greatest Common Factor of 7889,1775 By Matching Biggest Common Factor Method

Greatest Common Factor of 7889,1775 By Matching Biggest Common Factor Method

Factors of 7889

List of positive integer factors of 7889 that divides 7889 without a remainder.

1,7,23,49,161,343,1127,7889

Factors of 1775

List of positive integer factors of 1775 that divides 1775 without a remainder.

1,5,25,71,355,1775

Greatest Common Factor

We found the factors 7889,1775 . The biggest common factor number is the GCF number.
So the greatest common factor 7889,1775 is 1.

Lets's calculate LCM of 654,686

2 654, 686
327, 343

∴ So the LCM of the given numbers is 2 x 327 x 343 = 224322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224322

Therefore, the GCF of Fractions 7889/654,1775/686 is 1/224322

Least Common Multiple of 654,686 with GCF Formula

Least Common Multiple of 654,686 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 654,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,686) = 2

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

GCF(654,686) x common factors =2 x 1 = 2

LCM(654,686) = ( 654 × 686 ) / 2

LCM(654,686) = 448644 / 2

LCM(654,686) = 224322


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 7889/654, 1775/686

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 7889/654, 1775/686?

Answer: GCF of Numerators as per given numbers 7889/654, 1775/686 is

GCF of Numerators i.e. for 7889,1775 is 1

LCM of denominators i.e. for 654,686 is 224322.

Thus, GCF of Fractions is 1/224322.Finally, GCF of Fractions for 7889/654, 1775/686 is 1/224322.