Greatest Common Factor of 930/52, 225/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 930/52, 225/578

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 930/52,225/578

Given fractions are 930/52,225/578

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 930,225

Greatest Common Factor of Numerators i.e. GCF of 930,225 is 15 .

LCM of Denominators means LCM of 52,578 as per the given fractions.

LCM of 52,578 is 15028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 930,225

GCF of Fractions 930/52,225/578 is 15/15028

3 930, 225
5 310, 75
62, 15

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 930,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,225 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 930,225 . The biggest common factor number is the GCF number.
So the greatest common factor 930,225 is 15.

Lets's calculate LCM of 52,578

2 52, 578
26, 289

∴ So the LCM of the given numbers is 2 x 26 x 289 = 15028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/15028

Therefore, the GCF of Fractions 930/52,225/578 is 15/15028

Least Common Multiple of 52,578 with GCF Formula

Least Common Multiple of 52,578 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 52,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,578) = 2

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

GCF(52,578) x common factors =2 x 1 = 2

LCM(52,578) = ( 52 × 578 ) / 2

LCM(52,578) = 30056 / 2

LCM(52,578) = 15028


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 930/52, 225/578

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 930/52, 225/578?

Answer: GCF of Numerators as per given numbers 930/52, 225/578 is

GCF of Numerators i.e. for 930,225 is 15

LCM of denominators i.e. for 52,578 is 15028.

Thus, GCF of Fractions is 15/15028.Finally, GCF of Fractions for 930/52, 225/578 is 15/15028.