Greatest Common Factor of 78/957, 801/816, 200/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/957, 801/816, 200/306

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 78/957,801/816,200/306

Given fractions are 78/957,801/816,200/306

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 78,801,200

Greatest Common Factor of Numerators i.e. GCF of 78,801,200 is 1 .

LCM of Denominators means LCM of 957,816,306 as per the given fractions.

LCM of 957,816,306 is 780912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,801,200

GCF of Fractions 78/957,801/816,200/306 is 1/780912

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

Greatest Common Factor of 78,801,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,801,200 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 78,801,200 . The biggest common factor number is the GCF number.
So the greatest common factor 78,801,200 is 1.

Lets's calculate LCM of 957,816,306

2 957, 816, 306
3 957, 408, 153
17 319, 136, 51
319, 8, 3

∴ So the LCM of the given numbers is 2 x 3 x 17 x 319 x 8 x 3 = 780912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/780912

Therefore, the GCF of Fractions 78/957,801/816,200/306 is 1/780912

Least Common Multiple of 957,816,306 with GCF Formula

Least Common Multiple of 957,816,306 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 957,816,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,816,306) = 3

common factors(in case of two or more numbers have common factors) = 102

GCF(957,816,306) x common factors =3 x 102 = 306

LCM(957,816,306) = ( 957 × 816 × 306 ) / 306

LCM(957,816,306) = 238959072 / 306

LCM(957,816,306) = 780912


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 78/957, 801/816, 200/306

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 78/957, 801/816, 200/306?

Answer: GCF of Numerators as per given numbers 78/957, 801/816, 200/306 is

GCF of Numerators i.e. for 78,801,200 is 1

LCM of denominators i.e. for 957,816,306 is 780912.

Thus, GCF of Fractions is 1/780912.Finally, GCF of Fractions for 78/957, 801/816, 200/306 is 1/780912.