Greatest Common Factor of 3/85, 25/12, 40/683, 224/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/85, 25/12, 40/683, 224/391

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 3/85,25/12,40/683,224/391

Given fractions are 3/85,25/12,40/683,224/391

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 3,25,40,224

Greatest Common Factor of Numerators i.e. GCF of 3,25,40,224 is 1 .

LCM of Denominators means LCM of 85,12,683,391 as per the given fractions.

LCM of 85,12,683,391 is 16023180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,25,40,224

GCF of Fractions 3/85,25/12,40/683,224/391 is 1/16023180

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

Greatest Common Factor of 3,25,40,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,25,40,224 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 3,25,40,224 . The biggest common factor number is the GCF number.
So the greatest common factor 3,25,40,224 is 1.

Lets's calculate LCM of 85,12,683,391

17 85, 12, 683, 391
5, 12, 683, 23

∴ So the LCM of the given numbers is 17 x 5 x 12 x 683 x 23 = 16023180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16023180

Therefore, the GCF of Fractions 3/85,25/12,40/683,224/391 is 1/16023180

Least Common Multiple of 85,12,683,391 with GCF Formula

Least Common Multiple of 85,12,683,391 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 85,12,683,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,12,683,391) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(85,12,683,391) x common factors =1 x 17 = 17

LCM(85,12,683,391) = ( 85 × 12 × 683 × 391 ) / 17

LCM(85,12,683,391) = 272394060 / 17

LCM(85,12,683,391) = 16023180


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 3/85, 25/12, 40/683, 224/391

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 3/85, 25/12, 40/683, 224/391?

Answer: GCF of Numerators as per given numbers 3/85, 25/12, 40/683, 224/391 is

GCF of Numerators i.e. for 3,25,40,224 is 1

LCM of denominators i.e. for 85,12,683,391 is 16023180.

Thus, GCF of Fractions is 1/16023180.Finally, GCF of Fractions for 3/85, 25/12, 40/683, 224/391 is 1/16023180.