Greatest Common Factor of 689/91, 813/19, 915/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/91, 813/19, 915/422

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 689/91,813/19,915/422

Given fractions are 689/91,813/19,915/422

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 689,813,915

Greatest Common Factor of Numerators i.e. GCF of 689,813,915 is 1 .

LCM of Denominators means LCM of 91,19,422 as per the given fractions.

LCM of 91,19,422 is 729638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,813,915

GCF of Fractions 689/91,813/19,915/422 is 1/729638

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

Greatest Common Factor of 689,813,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,813,915 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 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 689,813,915 . The biggest common factor number is the GCF number.
So the greatest common factor 689,813,915 is 1.

Lets's calculate LCM of 91,19,422

Given numbers has no common factors except 1. So, there LCM is their product i.e 729638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/729638

Therefore, the GCF of Fractions 689/91,813/19,915/422 is 1/729638

Least Common Multiple of 91,19,422 with GCF Formula

Least Common Multiple of 91,19,422 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 91,19,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,19,422) = 1

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

GCF(91,19,422) x common factors =1 x 1 = 1

LCM(91,19,422) = ( 91 × 19 × 422 ) / 1

LCM(91,19,422) = 729638 / 1

LCM(91,19,422) = 729638


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 689/91, 813/19, 915/422

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 689/91, 813/19, 915/422?

Answer: GCF of Numerators as per given numbers 689/91, 813/19, 915/422 is

GCF of Numerators i.e. for 689,813,915 is 1

LCM of denominators i.e. for 91,19,422 is 729638.

Thus, GCF of Fractions is 1/729638.Finally, GCF of Fractions for 689/91, 813/19, 915/422 is 1/729638.