Greatest Common Factor of 83/426, 94/639, 926/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/426, 94/639, 926/426

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 83/426,94/639,926/426

Given fractions are 83/426,94/639,926/426

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 83,94,926

Greatest Common Factor of Numerators i.e. GCF of 83,94,926 is 1 .

LCM of Denominators means LCM of 426,639,426 as per the given fractions.

LCM of 426,639,426 is 1278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,94,926

GCF of Fractions 83/426,94/639,926/426 is 1/1278

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

Greatest Common Factor of 83,94,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,94,926 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 83,94,926 . The biggest common factor number is the GCF number.
So the greatest common factor 83,94,926 is 1.

Lets's calculate LCM of 426,639,426

2 426, 639, 426
3 213, 639, 213
71 71, 71, 213
1, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 71 x 1 x 1 x 3 = 1278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1278

Therefore, the GCF of Fractions 83/426,94/639,926/426 is 1/1278

Least Common Multiple of 426,639,426 with GCF Formula

Least Common Multiple of 426,639,426 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 426,639,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,639,426) = 213

common factors(in case of two or more numbers have common factors) = 426

GCF(426,639,426) x common factors =213 x 426 = 90738

LCM(426,639,426) = ( 426 × 639 × 426 ) / 90738

LCM(426,639,426) = 115963164 / 90738

LCM(426,639,426) = 1278


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 83/426, 94/639, 926/426

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 83/426, 94/639, 926/426?

Answer: GCF of Numerators as per given numbers 83/426, 94/639, 926/426 is

GCF of Numerators i.e. for 83,94,926 is 1

LCM of denominators i.e. for 426,639,426 is 1278.

Thus, GCF of Fractions is 1/1278.Finally, GCF of Fractions for 83/426, 94/639, 926/426 is 1/1278.