Greatest Common Factor of 694/12, 733/94, 801/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/12, 733/94, 801/80

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 694/12,733/94,801/80

Given fractions are 694/12,733/94,801/80

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 694,733,801

Greatest Common Factor of Numerators i.e. GCF of 694,733,801 is 1 .

LCM of Denominators means LCM of 12,94,80 as per the given fractions.

LCM of 12,94,80 is 11280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,733,801

GCF of Fractions 694/12,733/94,801/80 is 1/11280

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

Greatest Common Factor of 694,733,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,733,801 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 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 801

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

1,3,9,89,267,801

Greatest Common Factor

We found the factors 694,733,801 . The biggest common factor number is the GCF number.
So the greatest common factor 694,733,801 is 1.

Lets's calculate LCM of 12,94,80

2 12, 94, 80
2 6, 47, 40
3, 47, 20

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 20 = 11280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11280

Therefore, the GCF of Fractions 694/12,733/94,801/80 is 1/11280

Least Common Multiple of 12,94,80 with GCF Formula

Least Common Multiple of 12,94,80 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 12,94,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,94,80) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(12,94,80) x common factors =2 x 4 = 8

LCM(12,94,80) = ( 12 × 94 × 80 ) / 8

LCM(12,94,80) = 90240 / 8

LCM(12,94,80) = 11280


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 694/12, 733/94, 801/80

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 694/12, 733/94, 801/80?

Answer: GCF of Numerators as per given numbers 694/12, 733/94, 801/80 is

GCF of Numerators i.e. for 694,733,801 is 1

LCM of denominators i.e. for 12,94,80 is 11280.

Thus, GCF of Fractions is 1/11280.Finally, GCF of Fractions for 694/12, 733/94, 801/80 is 1/11280.