Greatest Common Factor of 75/980, 861/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/980, 861/394

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 75/980,861/394

Given fractions are 75/980,861/394

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 75,861

Greatest Common Factor of Numerators i.e. GCF of 75,861 is 3 .

LCM of Denominators means LCM of 980,394 as per the given fractions.

LCM of 980,394 is 193060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,861

GCF of Fractions 75/980,861/394 is 3/193060

3 75, 861
25, 287

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 75,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,861 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 75,861 . The biggest common factor number is the GCF number.
So the greatest common factor 75,861 is 3.

Lets's calculate LCM of 980,394

2 980, 394
490, 197

∴ So the LCM of the given numbers is 2 x 490 x 197 = 193060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/193060

Therefore, the GCF of Fractions 75/980,861/394 is 3/193060

Least Common Multiple of 980,394 with GCF Formula

Least Common Multiple of 980,394 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 980,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,394) = 2

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

GCF(980,394) x common factors =2 x 1 = 2

LCM(980,394) = ( 980 × 394 ) / 2

LCM(980,394) = 386120 / 2

LCM(980,394) = 193060


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 75/980, 861/394

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 75/980, 861/394?

Answer: GCF of Numerators as per given numbers 75/980, 861/394 is

GCF of Numerators i.e. for 75,861 is 3

LCM of denominators i.e. for 980,394 is 193060.

Thus, GCF of Fractions is 3/193060.Finally, GCF of Fractions for 75/980, 861/394 is 3/193060.