Greatest Common Factor of 8437/25, 1456/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8437/25, 1456/905

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 8437/25,1456/905

Given fractions are 8437/25,1456/905

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 8437,1456

Greatest Common Factor of Numerators i.e. GCF of 8437,1456 is 13 .

LCM of Denominators means LCM of 25,905 as per the given fractions.

LCM of 25,905 is 4525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8437,1456

GCF of Fractions 8437/25,1456/905 is 13/4525

13 8437, 1456
649, 112

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 8437,1456 By Matching Biggest Common Factor Method

Greatest Common Factor of 8437,1456 By Matching Biggest Common Factor Method

Factors of 8437

List of positive integer factors of 8437 that divides 8437 without a remainder.

1,11,13,59,143,649,767,8437

Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456

Greatest Common Factor

We found the factors 8437,1456 . The biggest common factor number is the GCF number.
So the greatest common factor 8437,1456 is 13.

Lets's calculate LCM of 25,905

5 25, 905
5, 181

∴ So the LCM of the given numbers is 5 x 5 x 181 = 4525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4525

Therefore, the GCF of Fractions 8437/25,1456/905 is 13/4525

Least Common Multiple of 25,905 with GCF Formula

Least Common Multiple of 25,905 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 25,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,905) = 5

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

GCF(25,905) x common factors =5 x 1 = 5

LCM(25,905) = ( 25 × 905 ) / 5

LCM(25,905) = 22625 / 5

LCM(25,905) = 4525


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 8437/25, 1456/905

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 8437/25, 1456/905?

Answer: GCF of Numerators as per given numbers 8437/25, 1456/905 is

GCF of Numerators i.e. for 8437,1456 is 13

LCM of denominators i.e. for 25,905 is 4525.

Thus, GCF of Fractions is 13/4525.Finally, GCF of Fractions for 8437/25, 1456/905 is 13/4525.