Greatest Common Factor of 47/18, 82/78, 64/36, 89/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/18, 82/78, 64/36, 89/257

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 47/18,82/78,64/36,89/257

Given fractions are 47/18,82/78,64/36,89/257

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 47,82,64,89

Greatest Common Factor of Numerators i.e. GCF of 47,82,64,89 is 1 .

LCM of Denominators means LCM of 18,78,36,257 as per the given fractions.

LCM of 18,78,36,257 is 120276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,82,64,89

GCF of Fractions 47/18,82/78,64/36,89/257 is 1/120276

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

Greatest Common Factor of 47,82,64,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,82,64,89 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 47,82,64,89 . The biggest common factor number is the GCF number.
So the greatest common factor 47,82,64,89 is 1.

Lets's calculate LCM of 18,78,36,257

2 18, 78, 36, 257
3 9, 39, 18, 257
3 3, 13, 6, 257
1, 13, 2, 257

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 13 x 2 x 257 = 120276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120276

Therefore, the GCF of Fractions 47/18,82/78,64/36,89/257 is 1/120276

Least Common Multiple of 18,78,36,257 with GCF Formula

Least Common Multiple of 18,78,36,257 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 18,78,36,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,78,36,257) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(18,78,36,257) x common factors =1 x 108 = 108

LCM(18,78,36,257) = ( 18 × 78 × 36 × 257 ) / 108

LCM(18,78,36,257) = 12989808 / 108

LCM(18,78,36,257) = 120276


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 47/18, 82/78, 64/36, 89/257

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 47/18, 82/78, 64/36, 89/257?

Answer: GCF of Numerators as per given numbers 47/18, 82/78, 64/36, 89/257 is

GCF of Numerators i.e. for 47,82,64,89 is 1

LCM of denominators i.e. for 18,78,36,257 is 120276.

Thus, GCF of Fractions is 1/120276.Finally, GCF of Fractions for 47/18, 82/78, 64/36, 89/257 is 1/120276.