Greatest Common Factor of 3075/10, 5785/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3075/10, 5785/742

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 3075/10,5785/742

Given fractions are 3075/10,5785/742

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 3075,5785

Greatest Common Factor of Numerators i.e. GCF of 3075,5785 is 5 .

LCM of Denominators means LCM of 10,742 as per the given fractions.

LCM of 10,742 is 3710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3075,5785

GCF of Fractions 3075/10,5785/742 is 5/3710

5 3075, 5785
615, 1157

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

Greatest Common Factor of 3075,5785 By Matching Biggest Common Factor Method

Greatest Common Factor of 3075,5785 By Matching Biggest Common Factor Method

Factors of 3075

List of positive integer factors of 3075 that divides 3075 without a remainder.

1,3,5,15,25,41,75,123,205,615,1025,3075

Factors of 5785

List of positive integer factors of 5785 that divides 5785 without a remainder.

1,5,13,65,89,445,1157,5785

Greatest Common Factor

We found the factors 3075,5785 . The biggest common factor number is the GCF number.
So the greatest common factor 3075,5785 is 5.

Lets's calculate LCM of 10,742

2 10, 742
5, 371

∴ So the LCM of the given numbers is 2 x 5 x 371 = 3710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3710

Therefore, the GCF of Fractions 3075/10,5785/742 is 5/3710

Least Common Multiple of 10,742 with GCF Formula

Least Common Multiple of 10,742 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 10,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,742) = 2

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

GCF(10,742) x common factors =2 x 1 = 2

LCM(10,742) = ( 10 × 742 ) / 2

LCM(10,742) = 7420 / 2

LCM(10,742) = 3710


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 3075/10, 5785/742

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 3075/10, 5785/742?

Answer: GCF of Numerators as per given numbers 3075/10, 5785/742 is

GCF of Numerators i.e. for 3075,5785 is 5

LCM of denominators i.e. for 10,742 is 3710.

Thus, GCF of Fractions is 5/3710.Finally, GCF of Fractions for 3075/10, 5785/742 is 5/3710.