Greatest Common Factor of 625/59, 990/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 625/59, 990/223

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 625/59,990/223

Given fractions are 625/59,990/223

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 625,990

Greatest Common Factor of Numerators i.e. GCF of 625,990 is 5 .

LCM of Denominators means LCM of 59,223 as per the given fractions.

LCM of 59,223 is 13157 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 625,990

GCF of Fractions 625/59,990/223 is 5/13157

5 625, 990
125, 198

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

Greatest Common Factor of 625,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,990 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 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 625,990 . The biggest common factor number is the GCF number.
So the greatest common factor 625,990 is 5.

Lets's calculate LCM of 59,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 13157

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/13157

Therefore, the GCF of Fractions 625/59,990/223 is 5/13157

Least Common Multiple of 59,223 with GCF Formula

Least Common Multiple of 59,223 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 59,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,223) = 1

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

GCF(59,223) x common factors =1 x 1 = 1

LCM(59,223) = ( 59 × 223 ) / 1

LCM(59,223) = 13157 / 1

LCM(59,223) = 13157


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 625/59, 990/223

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 625/59, 990/223?

Answer: GCF of Numerators as per given numbers 625/59, 990/223 is

GCF of Numerators i.e. for 625,990 is 5

LCM of denominators i.e. for 59,223 is 13157.

Thus, GCF of Fractions is 5/13157.Finally, GCF of Fractions for 625/59, 990/223 is 5/13157.