Greatest Common Factor of 8148/596, 1095/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8148/596, 1095/764

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 8148/596,1095/764

Given fractions are 8148/596,1095/764

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 8148,1095

Greatest Common Factor of Numerators i.e. GCF of 8148,1095 is 3 .

LCM of Denominators means LCM of 596,764 as per the given fractions.

LCM of 596,764 is 113836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8148,1095

GCF of Fractions 8148/596,1095/764 is 3/113836

3 8148, 1095
2716, 365

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

Greatest Common Factor of 8148,1095 By Matching Biggest Common Factor Method

Greatest Common Factor of 8148,1095 By Matching Biggest Common Factor Method

Factors of 8148

List of positive integer factors of 8148 that divides 8148 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148

Factors of 1095

List of positive integer factors of 1095 that divides 1095 without a remainder.

1,3,5,15,73,219,365,1095

Greatest Common Factor

We found the factors 8148,1095 . The biggest common factor number is the GCF number.
So the greatest common factor 8148,1095 is 3.

Lets's calculate LCM of 596,764

2 596, 764
2 298, 382
149, 191

∴ So the LCM of the given numbers is 2 x 2 x 149 x 191 = 113836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/113836

Therefore, the GCF of Fractions 8148/596,1095/764 is 3/113836

Least Common Multiple of 596,764 with GCF Formula

Least Common Multiple of 596,764 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 596,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,764) = 4

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

GCF(596,764) x common factors =4 x 1 = 4

LCM(596,764) = ( 596 × 764 ) / 4

LCM(596,764) = 455344 / 4

LCM(596,764) = 113836


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 8148/596, 1095/764

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 8148/596, 1095/764?

Answer: GCF of Numerators as per given numbers 8148/596, 1095/764 is

GCF of Numerators i.e. for 8148,1095 is 3

LCM of denominators i.e. for 596,764 is 113836.

Thus, GCF of Fractions is 3/113836.Finally, GCF of Fractions for 8148/596, 1095/764 is 3/113836.