Greatest Common Factor of 5/61, 83/96, 12/664, 389/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/61, 83/96, 12/664, 389/320

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 5/61,83/96,12/664,389/320

Given fractions are 5/61,83/96,12/664,389/320

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 5,83,12,389

Greatest Common Factor of Numerators i.e. GCF of 5,83,12,389 is 1 .

LCM of Denominators means LCM of 61,96,664,320 as per the given fractions.

LCM of 61,96,664,320 is 4860480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,83,12,389

GCF of Fractions 5/61,83/96,12/664,389/320 is 1/4860480

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

Greatest Common Factor of 5,83,12,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,83,12,389 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 5,83,12,389 . The biggest common factor number is the GCF number.
So the greatest common factor 5,83,12,389 is 1.

Lets's calculate LCM of 61,96,664,320

2 61, 96, 664, 320
2 61, 48, 332, 160
2 61, 24, 166, 80
2 61, 12, 83, 40
2 61, 6, 83, 20
61, 3, 83, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 61 x 3 x 83 x 10 = 4860480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4860480

Therefore, the GCF of Fractions 5/61,83/96,12/664,389/320 is 1/4860480

Least Common Multiple of 61,96,664,320 with GCF Formula

Least Common Multiple of 61,96,664,320 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 61,96,664,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,96,664,320) = 1

common factors(in case of two or more numbers have common factors) = 256

GCF(61,96,664,320) x common factors =1 x 256 = 256

LCM(61,96,664,320) = ( 61 × 96 × 664 × 320 ) / 256

LCM(61,96,664,320) = 1244282880 / 256

LCM(61,96,664,320) = 4860480


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 5/61, 83/96, 12/664, 389/320

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 5/61, 83/96, 12/664, 389/320?

Answer: GCF of Numerators as per given numbers 5/61, 83/96, 12/664, 389/320 is

GCF of Numerators i.e. for 5,83,12,389 is 1

LCM of denominators i.e. for 61,96,664,320 is 4860480.

Thus, GCF of Fractions is 1/4860480.Finally, GCF of Fractions for 5/61, 83/96, 12/664, 389/320 is 1/4860480.