Greatest Common Factor of 681/84, 9270/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/84, 9270/384

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 681/84,9270/384

Given fractions are 681/84,9270/384

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 681,9270

Greatest Common Factor of Numerators i.e. GCF of 681,9270 is 3 .

LCM of Denominators means LCM of 84,384 as per the given fractions.

LCM of 84,384 is 2688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,9270

GCF of Fractions 681/84,9270/384 is 3/2688

3 681, 9270
227, 3090

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 681,9270 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,9270 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 9270

List of positive integer factors of 9270 that divides 9270 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270

Greatest Common Factor

We found the factors 681,9270 . The biggest common factor number is the GCF number.
So the greatest common factor 681,9270 is 3.

Lets's calculate LCM of 84,384

2 84, 384
2 42, 192
3 21, 96
7, 32

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 32 = 2688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2688

Therefore, the GCF of Fractions 681/84,9270/384 is 3/2688

Least Common Multiple of 84,384 with GCF Formula

Least Common Multiple of 84,384 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 84,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,384) = 12

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

GCF(84,384) x common factors =12 x 1 = 12

LCM(84,384) = ( 84 × 384 ) / 12

LCM(84,384) = 32256 / 12

LCM(84,384) = 2688


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 681/84, 9270/384

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 681/84, 9270/384?

Answer: GCF of Numerators as per given numbers 681/84, 9270/384 is

GCF of Numerators i.e. for 681,9270 is 3

LCM of denominators i.e. for 84,384 is 2688.

Thus, GCF of Fractions is 3/2688.Finally, GCF of Fractions for 681/84, 9270/384 is 3/2688.