Greatest Common Factor of 710/36, 736/16, 359/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/36, 736/16, 359/622

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 710/36,736/16,359/622

Given fractions are 710/36,736/16,359/622

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 710,736,359

Greatest Common Factor of Numerators i.e. GCF of 710,736,359 is 1 .

LCM of Denominators means LCM of 36,16,622 as per the given fractions.

LCM of 36,16,622 is 44784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,736,359

GCF of Fractions 710/36,736/16,359/622 is 1/44784

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

Greatest Common Factor of 710,736,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,736,359 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 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 710,736,359 . The biggest common factor number is the GCF number.
So the greatest common factor 710,736,359 is 1.

Lets's calculate LCM of 36,16,622

2 36, 16, 622
2 18, 8, 311
9, 4, 311

∴ So the LCM of the given numbers is 2 x 2 x 9 x 4 x 311 = 44784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44784

Therefore, the GCF of Fractions 710/36,736/16,359/622 is 1/44784

Least Common Multiple of 36,16,622 with GCF Formula

Least Common Multiple of 36,16,622 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 36,16,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,16,622) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(36,16,622) x common factors =2 x 4 = 8

LCM(36,16,622) = ( 36 × 16 × 622 ) / 8

LCM(36,16,622) = 358272 / 8

LCM(36,16,622) = 44784


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 710/36, 736/16, 359/622

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 710/36, 736/16, 359/622?

Answer: GCF of Numerators as per given numbers 710/36, 736/16, 359/622 is

GCF of Numerators i.e. for 710,736,359 is 1

LCM of denominators i.e. for 36,16,622 is 44784.

Thus, GCF of Fractions is 1/44784.Finally, GCF of Fractions for 710/36, 736/16, 359/622 is 1/44784.