Greatest Common Factor of 785/30, 176/40, 704/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 785/30, 176/40, 704/745

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 785/30,176/40,704/745

Given fractions are 785/30,176/40,704/745

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 785,176,704

Greatest Common Factor of Numerators i.e. GCF of 785,176,704 is 1 .

LCM of Denominators means LCM of 30,40,745 as per the given fractions.

LCM of 30,40,745 is 17880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 785,176,704

GCF of Fractions 785/30,176/40,704/745 is 1/17880

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 785,176,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,176,704 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 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 785,176,704 . The biggest common factor number is the GCF number.
So the greatest common factor 785,176,704 is 1.

Lets's calculate LCM of 30,40,745

2 30, 40, 745
5 15, 20, 745
3, 4, 149

∴ So the LCM of the given numbers is 2 x 5 x 3 x 4 x 149 = 17880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17880

Therefore, the GCF of Fractions 785/30,176/40,704/745 is 1/17880

Least Common Multiple of 30,40,745 with GCF Formula

Least Common Multiple of 30,40,745 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 30,40,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,40,745) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(30,40,745) x common factors =5 x 10 = 50

LCM(30,40,745) = ( 30 × 40 × 745 ) / 50

LCM(30,40,745) = 894000 / 50

LCM(30,40,745) = 17880


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 785/30, 176/40, 704/745

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 785/30, 176/40, 704/745?

Answer: GCF of Numerators as per given numbers 785/30, 176/40, 704/745 is

GCF of Numerators i.e. for 785,176,704 is 1

LCM of denominators i.e. for 30,40,745 is 17880.

Thus, GCF of Fractions is 1/17880.Finally, GCF of Fractions for 785/30, 176/40, 704/745 is 1/17880.