Greatest Common Factor of 750/225, 2825/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 750/225, 2825/522

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 750/225,2825/522

Given fractions are 750/225,2825/522

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 750,2825

Greatest Common Factor of Numerators i.e. GCF of 750,2825 is 25 .

LCM of Denominators means LCM of 225,522 as per the given fractions.

LCM of 225,522 is 13050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 750,2825

GCF of Fractions 750/225,2825/522 is 25/13050

5 750, 2825
5 150, 565
30, 113

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

Greatest Common Factor of 750,2825 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,2825 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 2825

List of positive integer factors of 2825 that divides 2825 without a remainder.

1,5,25,113,565,2825

Greatest Common Factor

We found the factors 750,2825 . The biggest common factor number is the GCF number.
So the greatest common factor 750,2825 is 25.

Lets's calculate LCM of 225,522

3 225, 522
3 75, 174
25, 58

∴ So the LCM of the given numbers is 3 x 3 x 25 x 58 = 13050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/13050

Therefore, the GCF of Fractions 750/225,2825/522 is 25/13050

Least Common Multiple of 225,522 with GCF Formula

Least Common Multiple of 225,522 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 225,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,522) = 9

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

GCF(225,522) x common factors =9 x 1 = 9

LCM(225,522) = ( 225 × 522 ) / 9

LCM(225,522) = 117450 / 9

LCM(225,522) = 13050


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 750/225, 2825/522

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 750/225, 2825/522?

Answer: GCF of Numerators as per given numbers 750/225, 2825/522 is

GCF of Numerators i.e. for 750,2825 is 25

LCM of denominators i.e. for 225,522 is 13050.

Thus, GCF of Fractions is 25/13050.Finally, GCF of Fractions for 750/225, 2825/522 is 25/13050.