Greatest Common Factor of 38/873, 856/784, 195/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/873, 856/784, 195/802

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 38/873,856/784,195/802

Given fractions are 38/873,856/784,195/802

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 38,856,195

Greatest Common Factor of Numerators i.e. GCF of 38,856,195 is 1 .

LCM of Denominators means LCM of 873,784,802 as per the given fractions.

LCM of 873,784,802 is 274457232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,856,195

GCF of Fractions 38/873,856/784,195/802 is 1/274457232

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

Greatest Common Factor of 38,856,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,856,195 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 38,856,195 . The biggest common factor number is the GCF number.
So the greatest common factor 38,856,195 is 1.

Lets's calculate LCM of 873,784,802

2 873, 784, 802
873, 392, 401

∴ So the LCM of the given numbers is 2 x 873 x 392 x 401 = 274457232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274457232

Therefore, the GCF of Fractions 38/873,856/784,195/802 is 1/274457232

Least Common Multiple of 873,784,802 with GCF Formula

Least Common Multiple of 873,784,802 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 873,784,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,784,802) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(873,784,802) x common factors =1 x 2 = 2

LCM(873,784,802) = ( 873 × 784 × 802 ) / 2

LCM(873,784,802) = 548914464 / 2

LCM(873,784,802) = 274457232


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 38/873, 856/784, 195/802

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 38/873, 856/784, 195/802?

Answer: GCF of Numerators as per given numbers 38/873, 856/784, 195/802 is

GCF of Numerators i.e. for 38,856,195 is 1

LCM of denominators i.e. for 873,784,802 is 274457232.

Thus, GCF of Fractions is 1/274457232.Finally, GCF of Fractions for 38/873, 856/784, 195/802 is 1/274457232.