Greatest Common Factor of 3/13, 67/86, 21/661, 867/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/13, 67/86, 21/661, 867/213

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 3/13,67/86,21/661,867/213

Given fractions are 3/13,67/86,21/661,867/213

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 3,67,21,867

Greatest Common Factor of Numerators i.e. GCF of 3,67,21,867 is 1 .

LCM of Denominators means LCM of 13,86,661,213 as per the given fractions.

LCM of 13,86,661,213 is 157406574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,67,21,867

GCF of Fractions 3/13,67/86,21/661,867/213 is 1/157406574

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

Greatest Common Factor of 3,67,21,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,67,21,867 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 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 3,67,21,867 . The biggest common factor number is the GCF number.
So the greatest common factor 3,67,21,867 is 1.

Lets's calculate LCM of 13,86,661,213

Given numbers has no common factors except 1. So, there LCM is their product i.e 157406574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157406574

Therefore, the GCF of Fractions 3/13,67/86,21/661,867/213 is 1/157406574

Least Common Multiple of 13,86,661,213 with GCF Formula

Least Common Multiple of 13,86,661,213 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 13,86,661,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,86,661,213) = 1

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

GCF(13,86,661,213) x common factors =1 x 1 = 1

LCM(13,86,661,213) = ( 13 × 86 × 661 × 213 ) / 1

LCM(13,86,661,213) = 157406574 / 1

LCM(13,86,661,213) = 157406574


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 3/13, 67/86, 21/661, 867/213

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 3/13, 67/86, 21/661, 867/213?

Answer: GCF of Numerators as per given numbers 3/13, 67/86, 21/661, 867/213 is

GCF of Numerators i.e. for 3,67,21,867 is 1

LCM of denominators i.e. for 13,86,661,213 is 157406574.

Thus, GCF of Fractions is 1/157406574.Finally, GCF of Fractions for 3/13, 67/86, 21/661, 867/213 is 1/157406574.