Greatest Common Factor of 6691/468, 1547/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6691/468, 1547/712

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 6691/468,1547/712

Given fractions are 6691/468,1547/712

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 6691,1547

Greatest Common Factor of Numerators i.e. GCF of 6691,1547 is 1 .

LCM of Denominators means LCM of 468,712 as per the given fractions.

LCM of 468,712 is 83304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6691,1547

GCF of Fractions 6691/468,1547/712 is 1/83304

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

Greatest Common Factor of 6691,1547 By Matching Biggest Common Factor Method

Greatest Common Factor of 6691,1547 By Matching Biggest Common Factor Method

Factors of 6691

List of positive integer factors of 6691 that divides 6691 without a remainder.

1,6691

Factors of 1547

List of positive integer factors of 1547 that divides 1547 without a remainder.

1,7,13,17,91,119,221,1547

Greatest Common Factor

We found the factors 6691,1547 . The biggest common factor number is the GCF number.
So the greatest common factor 6691,1547 is 1.

Lets's calculate LCM of 468,712

2 468, 712
2 234, 356
117, 178

∴ So the LCM of the given numbers is 2 x 2 x 117 x 178 = 83304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83304

Therefore, the GCF of Fractions 6691/468,1547/712 is 1/83304

Least Common Multiple of 468,712 with GCF Formula

Least Common Multiple of 468,712 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 468,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,712) = 4

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

GCF(468,712) x common factors =4 x 1 = 4

LCM(468,712) = ( 468 × 712 ) / 4

LCM(468,712) = 333216 / 4

LCM(468,712) = 83304


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 6691/468, 1547/712

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 6691/468, 1547/712?

Answer: GCF of Numerators as per given numbers 6691/468, 1547/712 is

GCF of Numerators i.e. for 6691,1547 is 1

LCM of denominators i.e. for 468,712 is 83304.

Thus, GCF of Fractions is 1/83304.Finally, GCF of Fractions for 6691/468, 1547/712 is 1/83304.