Greatest Common Factor of 916/702, 919/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 916/702, 919/459

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 916/702,919/459

Given fractions are 916/702,919/459

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 916,919

Greatest Common Factor of Numerators i.e. GCF of 916,919 is 1 .

LCM of Denominators means LCM of 702,459 as per the given fractions.

LCM of 702,459 is 11934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 916,919

GCF of Fractions 916/702,919/459 is 1/11934

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

Greatest Common Factor of 916,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,919 By Matching Biggest Common Factor Method

Factors of 916

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

1,2,4,229,458,916

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 916,919 . The biggest common factor number is the GCF number.
So the greatest common factor 916,919 is 1.

Lets's calculate LCM of 702,459

3 702, 459
3 234, 153
3 78, 51
26, 17

∴ So the LCM of the given numbers is 3 x 3 x 3 x 26 x 17 = 11934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11934

Therefore, the GCF of Fractions 916/702,919/459 is 1/11934

Least Common Multiple of 702,459 with GCF Formula

Least Common Multiple of 702,459 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 702,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,459) = 27

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

GCF(702,459) x common factors =27 x 1 = 27

LCM(702,459) = ( 702 × 459 ) / 27

LCM(702,459) = 322218 / 27

LCM(702,459) = 11934


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 916/702, 919/459

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 916/702, 919/459?

Answer: GCF of Numerators as per given numbers 916/702, 919/459 is

GCF of Numerators i.e. for 916,919 is 1

LCM of denominators i.e. for 702,459 is 11934.

Thus, GCF of Fractions is 1/11934.Finally, GCF of Fractions for 916/702, 919/459 is 1/11934.