Greatest Common Factor of 785/45, 915/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 785/45, 915/342

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 785/45,915/342

Given fractions are 785/45,915/342

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 785,915

Greatest Common Factor of Numerators i.e. GCF of 785,915 is 5 .

LCM of Denominators means LCM of 45,342 as per the given fractions.

LCM of 45,342 is 1710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 785,915

GCF of Fractions 785/45,915/342 is 5/1710

5 785, 915
157, 183

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

Greatest Common Factor of 785,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,915 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 785,915 . The biggest common factor number is the GCF number.
So the greatest common factor 785,915 is 5.

Lets's calculate LCM of 45,342

3 45, 342
3 15, 114
5, 38

∴ So the LCM of the given numbers is 3 x 3 x 5 x 38 = 1710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1710

Therefore, the GCF of Fractions 785/45,915/342 is 5/1710

Least Common Multiple of 45,342 with GCF Formula

Least Common Multiple of 45,342 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 45,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,342) = 9

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

GCF(45,342) x common factors =9 x 1 = 9

LCM(45,342) = ( 45 × 342 ) / 9

LCM(45,342) = 15390 / 9

LCM(45,342) = 1710


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 785/45, 915/342

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 785/45, 915/342?

Answer: GCF of Numerators as per given numbers 785/45, 915/342 is

GCF of Numerators i.e. for 785,915 is 5

LCM of denominators i.e. for 45,342 is 1710.

Thus, GCF of Fractions is 5/1710.Finally, GCF of Fractions for 785/45, 915/342 is 5/1710.