Greatest Common Factor of 2572/25, 2910/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2572/25, 2910/164

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 2572/25,2910/164

Given fractions are 2572/25,2910/164

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 2572,2910

Greatest Common Factor of Numerators i.e. GCF of 2572,2910 is 2 .

LCM of Denominators means LCM of 25,164 as per the given fractions.

LCM of 25,164 is 4100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2572,2910

GCF of Fractions 2572/25,2910/164 is 2/4100

2 2572, 2910
1286, 1455

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2572,2910 By Matching Biggest Common Factor Method

Greatest Common Factor of 2572,2910 By Matching Biggest Common Factor Method

Factors of 2572

List of positive integer factors of 2572 that divides 2572 without a remainder.

1,2,4,643,1286,2572

Factors of 2910

List of positive integer factors of 2910 that divides 2910 without a remainder.

1,2,3,5,6,10,15,30,97,194,291,485,582,970,1455,2910

Greatest Common Factor

We found the factors 2572,2910 . The biggest common factor number is the GCF number.
So the greatest common factor 2572,2910 is 2.

Lets's calculate LCM of 25,164

Given numbers has no common factors except 1. So, there LCM is their product i.e 4100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4100

Therefore, the GCF of Fractions 2572/25,2910/164 is 2/4100

Least Common Multiple of 25,164 with GCF Formula

Least Common Multiple of 25,164 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 25,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,164) = 1

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

GCF(25,164) x common factors =1 x 1 = 1

LCM(25,164) = ( 25 × 164 ) / 1

LCM(25,164) = 4100 / 1

LCM(25,164) = 4100


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 2572/25, 2910/164

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 2572/25, 2910/164?

Answer: GCF of Numerators as per given numbers 2572/25, 2910/164 is

GCF of Numerators i.e. for 2572,2910 is 2

LCM of denominators i.e. for 25,164 is 4100.

Thus, GCF of Fractions is 2/4100.Finally, GCF of Fractions for 2572/25, 2910/164 is 2/4100.