Greatest Common Factor of 2610/149, 5295/4894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2610/149, 5295/4894

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 2610/149,5295/4894

Given fractions are 2610/149,5295/4894

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 2610,5295

Greatest Common Factor of Numerators i.e. GCF of 2610,5295 is 15 .

LCM of Denominators means LCM of 149,4894 as per the given fractions.

LCM of 149,4894 is 729206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2610,5295

GCF of Fractions 2610/149,5295/4894 is 15/729206

3 2610, 5295
5 870, 1765
174, 353

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 2610,5295 By Matching Biggest Common Factor Method

Greatest Common Factor of 2610,5295 By Matching Biggest Common Factor Method

Factors of 2610

List of positive integer factors of 2610 that divides 2610 without a remainder.

1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,870,1305,2610

Factors of 5295

List of positive integer factors of 5295 that divides 5295 without a remainder.

1,3,5,15,353,1059,1765,5295

Greatest Common Factor

We found the factors 2610,5295 . The biggest common factor number is the GCF number.
So the greatest common factor 2610,5295 is 15.

Lets's calculate LCM of 149,4894

Given numbers has no common factors except 1. So, there LCM is their product i.e 729206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/729206

Therefore, the GCF of Fractions 2610/149,5295/4894 is 15/729206

Least Common Multiple of 149,4894 with GCF Formula

Least Common Multiple of 149,4894 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 149,4894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,4894) = 1

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

GCF(149,4894) x common factors =1 x 1 = 1

LCM(149,4894) = ( 149 × 4894 ) / 1

LCM(149,4894) = 729206 / 1

LCM(149,4894) = 729206


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 2610/149, 5295/4894

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 2610/149, 5295/4894?

Answer: GCF of Numerators as per given numbers 2610/149, 5295/4894 is

GCF of Numerators i.e. for 2610,5295 is 15

LCM of denominators i.e. for 149,4894 is 729206.

Thus, GCF of Fractions is 15/729206.Finally, GCF of Fractions for 2610/149, 5295/4894 is 15/729206.