Greatest Common Factor of 691/402, 420/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 691/402, 420/326

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 691/402,420/326

Given fractions are 691/402,420/326

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 691,420

Greatest Common Factor of Numerators i.e. GCF of 691,420 is 1 .

LCM of Denominators means LCM of 402,326 as per the given fractions.

LCM of 402,326 is 65526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 691,420

GCF of Fractions 691/402,420/326 is 1/65526

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

Greatest Common Factor of 691,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,420 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 691,420 . The biggest common factor number is the GCF number.
So the greatest common factor 691,420 is 1.

Lets's calculate LCM of 402,326

2 402, 326
201, 163

∴ So the LCM of the given numbers is 2 x 201 x 163 = 65526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65526

Therefore, the GCF of Fractions 691/402,420/326 is 1/65526

Least Common Multiple of 402,326 with GCF Formula

Least Common Multiple of 402,326 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 402,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,326) = 2

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

GCF(402,326) x common factors =2 x 1 = 2

LCM(402,326) = ( 402 × 326 ) / 2

LCM(402,326) = 131052 / 2

LCM(402,326) = 65526


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 691/402, 420/326

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 691/402, 420/326?

Answer: GCF of Numerators as per given numbers 691/402, 420/326 is

GCF of Numerators i.e. for 691,420 is 1

LCM of denominators i.e. for 402,326 is 65526.

Thus, GCF of Fractions is 1/65526.Finally, GCF of Fractions for 691/402, 420/326 is 1/65526.