Greatest Common Factor of 26/307, 23/686, 835/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/307, 23/686, 835/423

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 26/307,23/686,835/423

Given fractions are 26/307,23/686,835/423

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 26,23,835

Greatest Common Factor of Numerators i.e. GCF of 26,23,835 is 1 .

LCM of Denominators means LCM of 307,686,423 as per the given fractions.

LCM of 307,686,423 is 89084646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,23,835

GCF of Fractions 26/307,23/686,835/423 is 1/89084646

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

Greatest Common Factor of 26,23,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,23,835 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 26,23,835 . The biggest common factor number is the GCF number.
So the greatest common factor 26,23,835 is 1.

Lets's calculate LCM of 307,686,423

Given numbers has no common factors except 1. So, there LCM is their product i.e 89084646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89084646

Therefore, the GCF of Fractions 26/307,23/686,835/423 is 1/89084646

Least Common Multiple of 307,686,423 with GCF Formula

Least Common Multiple of 307,686,423 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 307,686,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,686,423) = 1

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

GCF(307,686,423) x common factors =1 x 1 = 1

LCM(307,686,423) = ( 307 × 686 × 423 ) / 1

LCM(307,686,423) = 89084646 / 1

LCM(307,686,423) = 89084646


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 26/307, 23/686, 835/423

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 26/307, 23/686, 835/423?

Answer: GCF of Numerators as per given numbers 26/307, 23/686, 835/423 is

GCF of Numerators i.e. for 26,23,835 is 1

LCM of denominators i.e. for 307,686,423 is 89084646.

Thus, GCF of Fractions is 1/89084646.Finally, GCF of Fractions for 26/307, 23/686, 835/423 is 1/89084646.