Greatest Common Factor of 864/58, 682/18, 749/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 864/58, 682/18, 749/57

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 864/58,682/18,749/57

Given fractions are 864/58,682/18,749/57

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 864,682,749

Greatest Common Factor of Numerators i.e. GCF of 864,682,749 is 1 .

LCM of Denominators means LCM of 58,18,57 as per the given fractions.

LCM of 58,18,57 is 9918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 864,682,749

GCF of Fractions 864/58,682/18,749/57 is 1/9918

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

Greatest Common Factor of 864,682,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,682,749 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 864,682,749 . The biggest common factor number is the GCF number.
So the greatest common factor 864,682,749 is 1.

Lets's calculate LCM of 58,18,57

2 58, 18, 57
3 29, 9, 57
29, 3, 19

∴ So the LCM of the given numbers is 2 x 3 x 29 x 3 x 19 = 9918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9918

Therefore, the GCF of Fractions 864/58,682/18,749/57 is 1/9918

Least Common Multiple of 58,18,57 with GCF Formula

Least Common Multiple of 58,18,57 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 58,18,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,18,57) = 1

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

GCF(58,18,57) x common factors =1 x 6 = 6

LCM(58,18,57) = ( 58 × 18 × 57 ) / 6

LCM(58,18,57) = 59508 / 6

LCM(58,18,57) = 9918


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 864/58, 682/18, 749/57

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 864/58, 682/18, 749/57?

Answer: GCF of Numerators as per given numbers 864/58, 682/18, 749/57 is

GCF of Numerators i.e. for 864,682,749 is 1

LCM of denominators i.e. for 58,18,57 is 9918.

Thus, GCF of Fractions is 1/9918.Finally, GCF of Fractions for 864/58, 682/18, 749/57 is 1/9918.