Greatest Common Factor of 785/23, 120/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 785/23, 120/894

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 785/23,120/894

Given fractions are 785/23,120/894

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 785,120

Greatest Common Factor of Numerators i.e. GCF of 785,120 is 5 .

LCM of Denominators means LCM of 23,894 as per the given fractions.

LCM of 23,894 is 20562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 785,120

GCF of Fractions 785/23,120/894 is 5/20562

5 785, 120
157, 24

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

Greatest Common Factor of 785,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,120 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 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 785,120 . The biggest common factor number is the GCF number.
So the greatest common factor 785,120 is 5.

Lets's calculate LCM of 23,894

Given numbers has no common factors except 1. So, there LCM is their product i.e 20562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/20562

Therefore, the GCF of Fractions 785/23,120/894 is 5/20562

Least Common Multiple of 23,894 with GCF Formula

Least Common Multiple of 23,894 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 23,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,894) = 1

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

GCF(23,894) x common factors =1 x 1 = 1

LCM(23,894) = ( 23 × 894 ) / 1

LCM(23,894) = 20562 / 1

LCM(23,894) = 20562


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 785/23, 120/894

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 785/23, 120/894?

Answer: GCF of Numerators as per given numbers 785/23, 120/894 is

GCF of Numerators i.e. for 785,120 is 5

LCM of denominators i.e. for 23,894 is 20562.

Thus, GCF of Fractions is 5/20562.Finally, GCF of Fractions for 785/23, 120/894 is 5/20562.