Greatest Common Factor of 42/50, 694/39, 810/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/50, 694/39, 810/397

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 42/50,694/39,810/397

Given fractions are 42/50,694/39,810/397

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 42,694,810

Greatest Common Factor of Numerators i.e. GCF of 42,694,810 is 2 .

LCM of Denominators means LCM of 50,39,397 as per the given fractions.

LCM of 50,39,397 is 774150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,694,810

GCF of Fractions 42/50,694/39,810/397 is 2/774150

2 42, 694, 810
21, 347, 405

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 42,694,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,694,810 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 42,694,810 . The biggest common factor number is the GCF number.
So the greatest common factor 42,694,810 is 2.

Lets's calculate LCM of 50,39,397

Given numbers has no common factors except 1. So, there LCM is their product i.e 774150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/774150

Therefore, the GCF of Fractions 42/50,694/39,810/397 is 2/774150

Least Common Multiple of 50,39,397 with GCF Formula

Least Common Multiple of 50,39,397 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 50,39,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,39,397) = 1

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

GCF(50,39,397) x common factors =1 x 1 = 1

LCM(50,39,397) = ( 50 × 39 × 397 ) / 1

LCM(50,39,397) = 774150 / 1

LCM(50,39,397) = 774150


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 42/50, 694/39, 810/397

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 42/50, 694/39, 810/397?

Answer: GCF of Numerators as per given numbers 42/50, 694/39, 810/397 is

GCF of Numerators i.e. for 42,694,810 is 2

LCM of denominators i.e. for 50,39,397 is 774150.

Thus, GCF of Fractions is 2/774150.Finally, GCF of Fractions for 42/50, 694/39, 810/397 is 2/774150.