Greatest Common Factor of 4/15, 14/33, 20/211, 170/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/15, 14/33, 20/211, 170/852

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 4/15,14/33,20/211,170/852

Given fractions are 4/15,14/33,20/211,170/852

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 4,14,20,170

Greatest Common Factor of Numerators i.e. GCF of 4,14,20,170 is 2 .

LCM of Denominators means LCM of 15,33,211,852 as per the given fractions.

LCM of 15,33,211,852 is 9887460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,14,20,170

GCF of Fractions 4/15,14/33,20/211,170/852 is 2/9887460

2 4, 14, 20, 170
2, 7, 10, 85

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4,14,20,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,14,20,170 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 4,14,20,170 . The biggest common factor number is the GCF number.
So the greatest common factor 4,14,20,170 is 2.

Lets's calculate LCM of 15,33,211,852

3 15, 33, 211, 852
5, 11, 211, 284

∴ So the LCM of the given numbers is 3 x 5 x 11 x 211 x 284 = 9887460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9887460

Therefore, the GCF of Fractions 4/15,14/33,20/211,170/852 is 2/9887460

Least Common Multiple of 15,33,211,852 with GCF Formula

Least Common Multiple of 15,33,211,852 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 15,33,211,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,33,211,852) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(15,33,211,852) x common factors =1 x 9 = 9

LCM(15,33,211,852) = ( 15 × 33 × 211 × 852 ) / 9

LCM(15,33,211,852) = 88987140 / 9

LCM(15,33,211,852) = 9887460


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 4/15, 14/33, 20/211, 170/852

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 4/15, 14/33, 20/211, 170/852?

Answer: GCF of Numerators as per given numbers 4/15, 14/33, 20/211, 170/852 is

GCF of Numerators i.e. for 4,14,20,170 is 2

LCM of denominators i.e. for 15,33,211,852 is 9887460.

Thus, GCF of Fractions is 2/9887460.Finally, GCF of Fractions for 4/15, 14/33, 20/211, 170/852 is 2/9887460.