Greatest Common Factor of 710/46, 618/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/46, 618/743

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 710/46,618/743

Given fractions are 710/46,618/743

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 710,618

Greatest Common Factor of Numerators i.e. GCF of 710,618 is 2 .

LCM of Denominators means LCM of 46,743 as per the given fractions.

LCM of 46,743 is 34178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,618

GCF of Fractions 710/46,618/743 is 2/34178

2 710, 618
355, 309

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 710,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,618 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

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 710,618 . The biggest common factor number is the GCF number.
So the greatest common factor 710,618 is 2.

Lets's calculate LCM of 46,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 34178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34178

Therefore, the GCF of Fractions 710/46,618/743 is 2/34178

Least Common Multiple of 46,743 with GCF Formula

Least Common Multiple of 46,743 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 46,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,743) = 1

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

GCF(46,743) x common factors =1 x 1 = 1

LCM(46,743) = ( 46 × 743 ) / 1

LCM(46,743) = 34178 / 1

LCM(46,743) = 34178


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 710/46, 618/743

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 710/46, 618/743?

Answer: GCF of Numerators as per given numbers 710/46, 618/743 is

GCF of Numerators i.e. for 710,618 is 2

LCM of denominators i.e. for 46,743 is 34178.

Thus, GCF of Fractions is 2/34178.Finally, GCF of Fractions for 710/46, 618/743 is 2/34178.