Greatest Common Factor of 2555/748, 9174/3990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2555/748, 9174/3990

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 2555/748,9174/3990

Given fractions are 2555/748,9174/3990

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 2555,9174

Greatest Common Factor of Numerators i.e. GCF of 2555,9174 is 1 .

LCM of Denominators means LCM of 748,3990 as per the given fractions.

LCM of 748,3990 is 1492260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2555,9174

GCF of Fractions 2555/748,9174/3990 is 1/1492260

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

Greatest Common Factor of 2555,9174 By Matching Biggest Common Factor Method

Greatest Common Factor of 2555,9174 By Matching Biggest Common Factor Method

Factors of 2555

List of positive integer factors of 2555 that divides 2555 without a remainder.

1,5,7,35,73,365,511,2555

Factors of 9174

List of positive integer factors of 9174 that divides 9174 without a remainder.

1,2,3,6,11,22,33,66,139,278,417,834,1529,3058,4587,9174

Greatest Common Factor

We found the factors 2555,9174 . The biggest common factor number is the GCF number.
So the greatest common factor 2555,9174 is 1.

Lets's calculate LCM of 748,3990

2 748, 3990
374, 1995

∴ So the LCM of the given numbers is 2 x 374 x 1995 = 1492260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1492260

Therefore, the GCF of Fractions 2555/748,9174/3990 is 1/1492260

Least Common Multiple of 748,3990 with GCF Formula

Least Common Multiple of 748,3990 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 748,3990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,3990) = 2

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

GCF(748,3990) x common factors =2 x 1 = 2

LCM(748,3990) = ( 748 × 3990 ) / 2

LCM(748,3990) = 2984520 / 2

LCM(748,3990) = 1492260


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 2555/748, 9174/3990

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 2555/748, 9174/3990?

Answer: GCF of Numerators as per given numbers 2555/748, 9174/3990 is

GCF of Numerators i.e. for 2555,9174 is 1

LCM of denominators i.e. for 748,3990 is 1492260.

Thus, GCF of Fractions is 1/1492260.Finally, GCF of Fractions for 2555/748, 9174/3990 is 1/1492260.