Greatest Common Factor of 689/312, 916/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/312, 916/806

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 689/312,916/806

Given fractions are 689/312,916/806

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 689,916

Greatest Common Factor of Numerators i.e. GCF of 689,916 is 1 .

LCM of Denominators means LCM of 312,806 as per the given fractions.

LCM of 312,806 is 9672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,916

GCF of Fractions 689/312,916/806 is 1/9672

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

Greatest Common Factor of 689,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,916 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 689,916 . The biggest common factor number is the GCF number.
So the greatest common factor 689,916 is 1.

Lets's calculate LCM of 312,806

2 312, 806
13 156, 403
12, 31

∴ So the LCM of the given numbers is 2 x 13 x 12 x 31 = 9672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9672

Therefore, the GCF of Fractions 689/312,916/806 is 1/9672

Least Common Multiple of 312,806 with GCF Formula

Least Common Multiple of 312,806 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 312,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,806) = 26

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

GCF(312,806) x common factors =26 x 1 = 26

LCM(312,806) = ( 312 × 806 ) / 26

LCM(312,806) = 251472 / 26

LCM(312,806) = 9672


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 689/312, 916/806

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 689/312, 916/806?

Answer: GCF of Numerators as per given numbers 689/312, 916/806 is

GCF of Numerators i.e. for 689,916 is 1

LCM of denominators i.e. for 312,806 is 9672.

Thus, GCF of Fractions is 1/9672.Finally, GCF of Fractions for 689/312, 916/806 is 1/9672.