Greatest Common Factor of 3/34, 92/59, 26/171, 893/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/34, 92/59, 26/171, 893/586

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 3/34,92/59,26/171,893/586

Given fractions are 3/34,92/59,26/171,893/586

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 3,92,26,893

Greatest Common Factor of Numerators i.e. GCF of 3,92,26,893 is 1 .

LCM of Denominators means LCM of 34,59,171,586 as per the given fractions.

LCM of 34,59,171,586 is 100506618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,92,26,893

GCF of Fractions 3/34,92/59,26/171,893/586 is 1/100506618

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

Greatest Common Factor of 3,92,26,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,92,26,893 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 26

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

1,2,13,26

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 3,92,26,893 . The biggest common factor number is the GCF number.
So the greatest common factor 3,92,26,893 is 1.

Lets's calculate LCM of 34,59,171,586

2 34, 59, 171, 586
17, 59, 171, 293

∴ So the LCM of the given numbers is 2 x 17 x 59 x 171 x 293 = 100506618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100506618

Therefore, the GCF of Fractions 3/34,92/59,26/171,893/586 is 1/100506618

Least Common Multiple of 34,59,171,586 with GCF Formula

Least Common Multiple of 34,59,171,586 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 34,59,171,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,59,171,586) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,59,171,586) x common factors =1 x 2 = 2

LCM(34,59,171,586) = ( 34 × 59 × 171 × 586 ) / 2

LCM(34,59,171,586) = 201013236 / 2

LCM(34,59,171,586) = 100506618


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 3/34, 92/59, 26/171, 893/586

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 3/34, 92/59, 26/171, 893/586?

Answer: GCF of Numerators as per given numbers 3/34, 92/59, 26/171, 893/586 is

GCF of Numerators i.e. for 3,92,26,893 is 1

LCM of denominators i.e. for 34,59,171,586 is 100506618.

Thus, GCF of Fractions is 1/100506618.Finally, GCF of Fractions for 3/34, 92/59, 26/171, 893/586 is 1/100506618.