Greatest Common Factor of 691/12, 7211/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 691/12, 7211/594

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 691/12,7211/594

Given fractions are 691/12,7211/594

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 691,7211

Greatest Common Factor of Numerators i.e. GCF of 691,7211 is 1 .

LCM of Denominators means LCM of 12,594 as per the given fractions.

LCM of 12,594 is 1188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 691,7211

GCF of Fractions 691/12,7211/594 is 1/1188

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

Greatest Common Factor of 691,7211 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,7211 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 7211

List of positive integer factors of 7211 that divides 7211 without a remainder.

1,7211

Greatest Common Factor

We found the factors 691,7211 . The biggest common factor number is the GCF number.
So the greatest common factor 691,7211 is 1.

Lets's calculate LCM of 12,594

2 12, 594
3 6, 297
2, 99

∴ So the LCM of the given numbers is 2 x 3 x 2 x 99 = 1188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1188

Therefore, the GCF of Fractions 691/12,7211/594 is 1/1188

Least Common Multiple of 12,594 with GCF Formula

Least Common Multiple of 12,594 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 12,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,594) = 6

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

GCF(12,594) x common factors =6 x 1 = 6

LCM(12,594) = ( 12 × 594 ) / 6

LCM(12,594) = 7128 / 6

LCM(12,594) = 1188


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 691/12, 7211/594

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 691/12, 7211/594?

Answer: GCF of Numerators as per given numbers 691/12, 7211/594 is

GCF of Numerators i.e. for 691,7211 is 1

LCM of denominators i.e. for 12,594 is 1188.

Thus, GCF of Fractions is 1/1188.Finally, GCF of Fractions for 691/12, 7211/594 is 1/1188.