Greatest Common Factor of 694/388, 9971/4366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/388, 9971/4366

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 694/388,9971/4366

Given fractions are 694/388,9971/4366

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 694,9971

Greatest Common Factor of Numerators i.e. GCF of 694,9971 is 1 .

LCM of Denominators means LCM of 388,4366 as per the given fractions.

LCM of 388,4366 is 847004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,9971

GCF of Fractions 694/388,9971/4366 is 1/847004

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

Greatest Common Factor of 694,9971 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,9971 By Matching Biggest Common Factor Method

Factors of 694

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

1,2,347,694

Factors of 9971

List of positive integer factors of 9971 that divides 9971 without a remainder.

1,13,59,169,767,9971

Greatest Common Factor

We found the factors 694,9971 . The biggest common factor number is the GCF number.
So the greatest common factor 694,9971 is 1.

Lets's calculate LCM of 388,4366

2 388, 4366
194, 2183

∴ So the LCM of the given numbers is 2 x 194 x 2183 = 847004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/847004

Therefore, the GCF of Fractions 694/388,9971/4366 is 1/847004

Least Common Multiple of 388,4366 with GCF Formula

Least Common Multiple of 388,4366 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 388,4366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,4366) = 2

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

GCF(388,4366) x common factors =2 x 1 = 2

LCM(388,4366) = ( 388 × 4366 ) / 2

LCM(388,4366) = 1694008 / 2

LCM(388,4366) = 847004


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 694/388, 9971/4366

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 694/388, 9971/4366?

Answer: GCF of Numerators as per given numbers 694/388, 9971/4366 is

GCF of Numerators i.e. for 694,9971 is 1

LCM of denominators i.e. for 388,4366 is 847004.

Thus, GCF of Fractions is 1/847004.Finally, GCF of Fractions for 694/388, 9971/4366 is 1/847004.