Greatest Common Factor of 18/26, 61/12, 829/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/26, 61/12, 829/513

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 18/26,61/12,829/513

Given fractions are 18/26,61/12,829/513

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 18,61,829

Greatest Common Factor of Numerators i.e. GCF of 18,61,829 is 1 .

LCM of Denominators means LCM of 26,12,513 as per the given fractions.

LCM of 26,12,513 is 26676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,61,829

GCF of Fractions 18/26,61/12,829/513 is 1/26676

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

Greatest Common Factor of 18,61,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,61,829 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 18,61,829 . The biggest common factor number is the GCF number.
So the greatest common factor 18,61,829 is 1.

Lets's calculate LCM of 26,12,513

2 26, 12, 513
3 13, 6, 513
13, 2, 171

∴ So the LCM of the given numbers is 2 x 3 x 13 x 2 x 171 = 26676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26676

Therefore, the GCF of Fractions 18/26,61/12,829/513 is 1/26676

Least Common Multiple of 26,12,513 with GCF Formula

Least Common Multiple of 26,12,513 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 26,12,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,12,513) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(26,12,513) x common factors =1 x 6 = 6

LCM(26,12,513) = ( 26 × 12 × 513 ) / 6

LCM(26,12,513) = 160056 / 6

LCM(26,12,513) = 26676


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 18/26, 61/12, 829/513

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 18/26, 61/12, 829/513?

Answer: GCF of Numerators as per given numbers 18/26, 61/12, 829/513 is

GCF of Numerators i.e. for 18,61,829 is 1

LCM of denominators i.e. for 26,12,513 is 26676.

Thus, GCF of Fractions is 1/26676.Finally, GCF of Fractions for 18/26, 61/12, 829/513 is 1/26676.