Greatest Common Factor of 8463/25, 4576/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8463/25, 4576/907

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 8463/25,4576/907

Given fractions are 8463/25,4576/907

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 8463,4576

Greatest Common Factor of Numerators i.e. GCF of 8463,4576 is 13 .

LCM of Denominators means LCM of 25,907 as per the given fractions.

LCM of 25,907 is 22675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8463,4576

GCF of Fractions 8463/25,4576/907 is 13/22675

13 8463, 4576
651, 352

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

Greatest Common Factor of 8463,4576 By Matching Biggest Common Factor Method

Greatest Common Factor of 8463,4576 By Matching Biggest Common Factor Method

Factors of 8463

List of positive integer factors of 8463 that divides 8463 without a remainder.

1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463

Factors of 4576

List of positive integer factors of 4576 that divides 4576 without a remainder.

1,2,4,8,11,13,16,22,26,32,44,52,88,104,143,176,208,286,352,416,572,1144,2288,4576

Greatest Common Factor

We found the factors 8463,4576 . The biggest common factor number is the GCF number.
So the greatest common factor 8463,4576 is 13.

Lets's calculate LCM of 25,907

Given numbers has no common factors except 1. So, there LCM is their product i.e 22675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/22675

Therefore, the GCF of Fractions 8463/25,4576/907 is 13/22675

Least Common Multiple of 25,907 with GCF Formula

Least Common Multiple of 25,907 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 25,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,907) = 1

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

GCF(25,907) x common factors =1 x 1 = 1

LCM(25,907) = ( 25 × 907 ) / 1

LCM(25,907) = 22675 / 1

LCM(25,907) = 22675


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 8463/25, 4576/907

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 8463/25, 4576/907?

Answer: GCF of Numerators as per given numbers 8463/25, 4576/907 is

GCF of Numerators i.e. for 8463,4576 is 13

LCM of denominators i.e. for 25,907 is 22675.

Thus, GCF of Fractions is 13/22675.Finally, GCF of Fractions for 8463/25, 4576/907 is 13/22675.