Greatest Common Factor of 625/894, 1025/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 625/894, 1025/440

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 625/894,1025/440

Given fractions are 625/894,1025/440

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 625,1025

Greatest Common Factor of Numerators i.e. GCF of 625,1025 is 25 .

LCM of Denominators means LCM of 894,440 as per the given fractions.

LCM of 894,440 is 196680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 625,1025

GCF of Fractions 625/894,1025/440 is 25/196680

5 625, 1025
5 125, 205
25, 41

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 625,1025 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,1025 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 1025

List of positive integer factors of 1025 that divides 1025 without a remainder.

1,5,25,41,205,1025

Greatest Common Factor

We found the factors 625,1025 . The biggest common factor number is the GCF number.
So the greatest common factor 625,1025 is 25.

Lets's calculate LCM of 894,440

2 894, 440
447, 220

∴ So the LCM of the given numbers is 2 x 447 x 220 = 196680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/196680

Therefore, the GCF of Fractions 625/894,1025/440 is 25/196680

Least Common Multiple of 894,440 with GCF Formula

Least Common Multiple of 894,440 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 894,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,440) = 2

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

GCF(894,440) x common factors =2 x 1 = 2

LCM(894,440) = ( 894 × 440 ) / 2

LCM(894,440) = 393360 / 2

LCM(894,440) = 196680


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 625/894, 1025/440

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 625/894, 1025/440?

Answer: GCF of Numerators as per given numbers 625/894, 1025/440 is

GCF of Numerators i.e. for 625,1025 is 25

LCM of denominators i.e. for 894,440 is 196680.

Thus, GCF of Fractions is 25/196680.Finally, GCF of Fractions for 625/894, 1025/440 is 25/196680.