Greatest Common Factor of 1244/825, 2570/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1244/825, 2570/305

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 1244/825,2570/305

Given fractions are 1244/825,2570/305

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 1244,2570

Greatest Common Factor of Numerators i.e. GCF of 1244,2570 is 2 .

LCM of Denominators means LCM of 825,305 as per the given fractions.

LCM of 825,305 is 50325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1244,2570

GCF of Fractions 1244/825,2570/305 is 2/50325

2 1244, 2570
622, 1285

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

Greatest Common Factor of 1244,2570 By Matching Biggest Common Factor Method

Greatest Common Factor of 1244,2570 By Matching Biggest Common Factor Method

Factors of 1244

List of positive integer factors of 1244 that divides 1244 without a remainder.

1,2,4,311,622,1244

Factors of 2570

List of positive integer factors of 2570 that divides 2570 without a remainder.

1,2,5,10,257,514,1285,2570

Greatest Common Factor

We found the factors 1244,2570 . The biggest common factor number is the GCF number.
So the greatest common factor 1244,2570 is 2.

Lets's calculate LCM of 825,305

5 825, 305
165, 61

∴ So the LCM of the given numbers is 5 x 165 x 61 = 50325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50325

Therefore, the GCF of Fractions 1244/825,2570/305 is 2/50325

Least Common Multiple of 825,305 with GCF Formula

Least Common Multiple of 825,305 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 825,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,305) = 5

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

GCF(825,305) x common factors =5 x 1 = 5

LCM(825,305) = ( 825 × 305 ) / 5

LCM(825,305) = 251625 / 5

LCM(825,305) = 50325


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 1244/825, 2570/305

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 1244/825, 2570/305?

Answer: GCF of Numerators as per given numbers 1244/825, 2570/305 is

GCF of Numerators i.e. for 1244,2570 is 2

LCM of denominators i.e. for 825,305 is 50325.

Thus, GCF of Fractions is 2/50325.Finally, GCF of Fractions for 1244/825, 2570/305 is 2/50325.