Greatest Common Factor of 996/34, 805/21, 694/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 996/34, 805/21, 694/221

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 996/34,805/21,694/221

Given fractions are 996/34,805/21,694/221

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 996,805,694

Greatest Common Factor of Numerators i.e. GCF of 996,805,694 is 1 .

LCM of Denominators means LCM of 34,21,221 as per the given fractions.

LCM of 34,21,221 is 9282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 996,805,694

GCF of Fractions 996/34,805/21,694/221 is 1/9282

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

Greatest Common Factor of 996,805,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,805,694 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 694

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

1,2,347,694

Greatest Common Factor

We found the factors 996,805,694 . The biggest common factor number is the GCF number.
So the greatest common factor 996,805,694 is 1.

Lets's calculate LCM of 34,21,221

17 34, 21, 221
2, 21, 13

∴ So the LCM of the given numbers is 17 x 2 x 21 x 13 = 9282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9282

Therefore, the GCF of Fractions 996/34,805/21,694/221 is 1/9282

Least Common Multiple of 34,21,221 with GCF Formula

Least Common Multiple of 34,21,221 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 34,21,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,21,221) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(34,21,221) x common factors =1 x 17 = 17

LCM(34,21,221) = ( 34 × 21 × 221 ) / 17

LCM(34,21,221) = 157794 / 17

LCM(34,21,221) = 9282


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 996/34, 805/21, 694/221

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 996/34, 805/21, 694/221?

Answer: GCF of Numerators as per given numbers 996/34, 805/21, 694/221 is

GCF of Numerators i.e. for 996,805,694 is 1

LCM of denominators i.e. for 34,21,221 is 9282.

Thus, GCF of Fractions is 1/9282.Finally, GCF of Fractions for 996/34, 805/21, 694/221 is 1/9282.