Greatest Common Factor of 1441/25, 8629/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1441/25, 8629/415

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 1441/25,8629/415

Given fractions are 1441/25,8629/415

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 1441,8629

Greatest Common Factor of Numerators i.e. GCF of 1441,8629 is 1 .

LCM of Denominators means LCM of 25,415 as per the given fractions.

LCM of 25,415 is 2075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1441,8629

GCF of Fractions 1441/25,8629/415 is 1/2075

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1441,8629 By Matching Biggest Common Factor Method

Greatest Common Factor of 1441,8629 By Matching Biggest Common Factor Method

Factors of 1441

List of positive integer factors of 1441 that divides 1441 without a remainder.

1,11,131,1441

Factors of 8629

List of positive integer factors of 8629 that divides 8629 without a remainder.

1,8629

Greatest Common Factor

We found the factors 1441,8629 . The biggest common factor number is the GCF number.
So the greatest common factor 1441,8629 is 1.

Lets's calculate LCM of 25,415

5 25, 415
5, 83

∴ So the LCM of the given numbers is 5 x 5 x 83 = 2075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2075

Therefore, the GCF of Fractions 1441/25,8629/415 is 1/2075

Least Common Multiple of 25,415 with GCF Formula

Least Common Multiple of 25,415 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 25,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,415) = 5

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

GCF(25,415) x common factors =5 x 1 = 5

LCM(25,415) = ( 25 × 415 ) / 5

LCM(25,415) = 10375 / 5

LCM(25,415) = 2075


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 1441/25, 8629/415

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 1441/25, 8629/415?

Answer: GCF of Numerators as per given numbers 1441/25, 8629/415 is

GCF of Numerators i.e. for 1441,8629 is 1

LCM of denominators i.e. for 25,415 is 2075.

Thus, GCF of Fractions is 1/2075.Finally, GCF of Fractions for 1441/25, 8629/415 is 1/2075.