Greatest Common Factor of 625/921, 900/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 625/921, 900/319

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 625/921,900/319

Given fractions are 625/921,900/319

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 625,900

Greatest Common Factor of Numerators i.e. GCF of 625,900 is 25 .

LCM of Denominators means LCM of 921,319 as per the given fractions.

LCM of 921,319 is 293799 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 625,900

GCF of Fractions 625/921,900/319 is 25/293799

5 625, 900
5 125, 180
25, 36

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

Greatest Common Factor of 625,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,900 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 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 625,900 . The biggest common factor number is the GCF number.
So the greatest common factor 625,900 is 25.

Lets's calculate LCM of 921,319

Given numbers has no common factors except 1. So, there LCM is their product i.e 293799

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/293799

Therefore, the GCF of Fractions 625/921,900/319 is 25/293799

Least Common Multiple of 921,319 with GCF Formula

Least Common Multiple of 921,319 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 921,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,319) = 1

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

GCF(921,319) x common factors =1 x 1 = 1

LCM(921,319) = ( 921 × 319 ) / 1

LCM(921,319) = 293799 / 1

LCM(921,319) = 293799


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 625/921, 900/319

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 625/921, 900/319?

Answer: GCF of Numerators as per given numbers 625/921, 900/319 is

GCF of Numerators i.e. for 625,900 is 25

LCM of denominators i.e. for 921,319 is 293799.

Thus, GCF of Fractions is 25/293799.Finally, GCF of Fractions for 625/921, 900/319 is 25/293799.