Greatest Common Factor of 4/47, 64/18, 29/482, 170/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/47, 64/18, 29/482, 170/644

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 4/47,64/18,29/482,170/644

Given fractions are 4/47,64/18,29/482,170/644

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 4,64,29,170

Greatest Common Factor of Numerators i.e. GCF of 4,64,29,170 is 1 .

LCM of Denominators means LCM of 47,18,482,644 as per the given fractions.

LCM of 47,18,482,644 is 65651292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,64,29,170

GCF of Fractions 4/47,64/18,29/482,170/644 is 1/65651292

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

Greatest Common Factor of 4,64,29,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,64,29,170 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 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

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 4,64,29,170 . The biggest common factor number is the GCF number.
So the greatest common factor 4,64,29,170 is 1.

Lets's calculate LCM of 47,18,482,644

2 47, 18, 482, 644
47, 9, 241, 322

∴ So the LCM of the given numbers is 2 x 47 x 9 x 241 x 322 = 65651292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65651292

Therefore, the GCF of Fractions 4/47,64/18,29/482,170/644 is 1/65651292

Least Common Multiple of 47,18,482,644 with GCF Formula

Least Common Multiple of 47,18,482,644 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 47,18,482,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,18,482,644) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(47,18,482,644) x common factors =1 x 4 = 4

LCM(47,18,482,644) = ( 47 × 18 × 482 × 644 ) / 4

LCM(47,18,482,644) = 262605168 / 4

LCM(47,18,482,644) = 65651292


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 4/47, 64/18, 29/482, 170/644

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 4/47, 64/18, 29/482, 170/644?

Answer: GCF of Numerators as per given numbers 4/47, 64/18, 29/482, 170/644 is

GCF of Numerators i.e. for 4,64,29,170 is 1

LCM of denominators i.e. for 47,18,482,644 is 65651292.

Thus, GCF of Fractions is 1/65651292.Finally, GCF of Fractions for 4/47, 64/18, 29/482, 170/644 is 1/65651292.