Greatest Common Factor of 750/312, 3575/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 750/312, 3575/303

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 750/312,3575/303

Given fractions are 750/312,3575/303

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 750,3575

Greatest Common Factor of Numerators i.e. GCF of 750,3575 is 25 .

LCM of Denominators means LCM of 312,303 as per the given fractions.

LCM of 312,303 is 31512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 750,3575

GCF of Fractions 750/312,3575/303 is 25/31512

5 750, 3575
5 150, 715
30, 143

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

Greatest Common Factor of 750,3575 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,3575 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 3575

List of positive integer factors of 3575 that divides 3575 without a remainder.

1,5,11,13,25,55,65,143,275,325,715,3575

Greatest Common Factor

We found the factors 750,3575 . The biggest common factor number is the GCF number.
So the greatest common factor 750,3575 is 25.

Lets's calculate LCM of 312,303

3 312, 303
104, 101

∴ So the LCM of the given numbers is 3 x 104 x 101 = 31512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/31512

Therefore, the GCF of Fractions 750/312,3575/303 is 25/31512

Least Common Multiple of 312,303 with GCF Formula

Least Common Multiple of 312,303 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 312,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,303) = 3

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

GCF(312,303) x common factors =3 x 1 = 3

LCM(312,303) = ( 312 × 303 ) / 3

LCM(312,303) = 94536 / 3

LCM(312,303) = 31512


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 750/312, 3575/303

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 750/312, 3575/303?

Answer: GCF of Numerators as per given numbers 750/312, 3575/303 is

GCF of Numerators i.e. for 750,3575 is 25

LCM of denominators i.e. for 312,303 is 31512.

Thus, GCF of Fractions is 25/31512.Finally, GCF of Fractions for 750/312, 3575/303 is 25/31512.