Greatest Common Factor of 73/858, 618/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/858, 618/134

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 73/858,618/134

Given fractions are 73/858,618/134

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 73,618

Greatest Common Factor of Numerators i.e. GCF of 73,618 is 1 .

LCM of Denominators means LCM of 858,134 as per the given fractions.

LCM of 858,134 is 57486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,618

GCF of Fractions 73/858,618/134 is 1/57486

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

Greatest Common Factor of 73,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,618 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 73,618 . The biggest common factor number is the GCF number.
So the greatest common factor 73,618 is 1.

Lets's calculate LCM of 858,134

2 858, 134
429, 67

∴ So the LCM of the given numbers is 2 x 429 x 67 = 57486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57486

Therefore, the GCF of Fractions 73/858,618/134 is 1/57486

Least Common Multiple of 858,134 with GCF Formula

Least Common Multiple of 858,134 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 858,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,134) = 2

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

GCF(858,134) x common factors =2 x 1 = 2

LCM(858,134) = ( 858 × 134 ) / 2

LCM(858,134) = 114972 / 2

LCM(858,134) = 57486


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 73/858, 618/134

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 73/858, 618/134?

Answer: GCF of Numerators as per given numbers 73/858, 618/134 is

GCF of Numerators i.e. for 73,618 is 1

LCM of denominators i.e. for 858,134 is 57486.

Thus, GCF of Fractions is 1/57486.Finally, GCF of Fractions for 73/858, 618/134 is 1/57486.