Greatest Common Factor of 645/736, 8301/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 645/736, 8301/851

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 645/736,8301/851

Given fractions are 645/736,8301/851

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 645,8301

Greatest Common Factor of Numerators i.e. GCF of 645,8301 is 3 .

LCM of Denominators means LCM of 736,851 as per the given fractions.

LCM of 736,851 is 27232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 645,8301

GCF of Fractions 645/736,8301/851 is 3/27232

3 645, 8301
215, 2767

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 645,8301 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,8301 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 8301

List of positive integer factors of 8301 that divides 8301 without a remainder.

1,3,2767,8301

Greatest Common Factor

We found the factors 645,8301 . The biggest common factor number is the GCF number.
So the greatest common factor 645,8301 is 3.

Lets's calculate LCM of 736,851

23 736, 851
32, 37

∴ So the LCM of the given numbers is 23 x 32 x 37 = 27232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27232

Therefore, the GCF of Fractions 645/736,8301/851 is 3/27232

Least Common Multiple of 736,851 with GCF Formula

Least Common Multiple of 736,851 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 736,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,851) = 23

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

GCF(736,851) x common factors =23 x 1 = 23

LCM(736,851) = ( 736 × 851 ) / 23

LCM(736,851) = 626336 / 23

LCM(736,851) = 27232


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 645/736, 8301/851

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 645/736, 8301/851?

Answer: GCF of Numerators as per given numbers 645/736, 8301/851 is

GCF of Numerators i.e. for 645,8301 is 3

LCM of denominators i.e. for 736,851 is 27232.

Thus, GCF of Fractions is 3/27232.Finally, GCF of Fractions for 645/736, 8301/851 is 3/27232.