Greatest Common Factor of 1168/238, 2725/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1168/238, 2725/820

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 1168/238,2725/820

Given fractions are 1168/238,2725/820

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 1168,2725

Greatest Common Factor of Numerators i.e. GCF of 1168,2725 is 1 .

LCM of Denominators means LCM of 238,820 as per the given fractions.

LCM of 238,820 is 97580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1168,2725

GCF of Fractions 1168/238,2725/820 is 1/97580

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

Greatest Common Factor of 1168,2725 By Matching Biggest Common Factor Method

Greatest Common Factor of 1168,2725 By Matching Biggest Common Factor Method

Factors of 1168

List of positive integer factors of 1168 that divides 1168 without a remainder.

1,2,4,8,16,73,146,292,584,1168

Factors of 2725

List of positive integer factors of 2725 that divides 2725 without a remainder.

1,5,25,109,545,2725

Greatest Common Factor

We found the factors 1168,2725 . The biggest common factor number is the GCF number.
So the greatest common factor 1168,2725 is 1.

Lets's calculate LCM of 238,820

2 238, 820
119, 410

∴ So the LCM of the given numbers is 2 x 119 x 410 = 97580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97580

Therefore, the GCF of Fractions 1168/238,2725/820 is 1/97580

Least Common Multiple of 238,820 with GCF Formula

Least Common Multiple of 238,820 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 238,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,820) = 2

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

GCF(238,820) x common factors =2 x 1 = 2

LCM(238,820) = ( 238 × 820 ) / 2

LCM(238,820) = 195160 / 2

LCM(238,820) = 97580


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 1168/238, 2725/820

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 1168/238, 2725/820?

Answer: GCF of Numerators as per given numbers 1168/238, 2725/820 is

GCF of Numerators i.e. for 1168,2725 is 1

LCM of denominators i.e. for 238,820 is 97580.

Thus, GCF of Fractions is 1/97580.Finally, GCF of Fractions for 1168/238, 2725/820 is 1/97580.