Greatest Common Factor of 47/90, 27/98, 35/78, 415/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/90, 27/98, 35/78, 415/60

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 47/90,27/98,35/78,415/60

Given fractions are 47/90,27/98,35/78,415/60

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 47,27,35,415

Greatest Common Factor of Numerators i.e. GCF of 47,27,35,415 is 1 .

LCM of Denominators means LCM of 90,98,78,60 as per the given fractions.

LCM of 90,98,78,60 is 114660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,27,35,415

GCF of Fractions 47/90,27/98,35/78,415/60 is 1/114660

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

Greatest Common Factor of 47,27,35,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,27,35,415 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 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 47,27,35,415 . The biggest common factor number is the GCF number.
So the greatest common factor 47,27,35,415 is 1.

Lets's calculate LCM of 90,98,78,60

2 90, 98, 78, 60
3 45, 49, 39, 30
5 15, 49, 13, 10
3, 49, 13, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 49 x 13 x 2 = 114660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114660

Therefore, the GCF of Fractions 47/90,27/98,35/78,415/60 is 1/114660

Least Common Multiple of 90,98,78,60 with GCF Formula

Least Common Multiple of 90,98,78,60 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 90,98,78,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,98,78,60) = 2

common factors(in case of two or more numbers have common factors) = 180

GCF(90,98,78,60) x common factors =2 x 180 = 360

LCM(90,98,78,60) = ( 90 × 98 × 78 × 60 ) / 360

LCM(90,98,78,60) = 41277600 / 360

LCM(90,98,78,60) = 114660


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 47/90, 27/98, 35/78, 415/60

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 47/90, 27/98, 35/78, 415/60?

Answer: GCF of Numerators as per given numbers 47/90, 27/98, 35/78, 415/60 is

GCF of Numerators i.e. for 47,27,35,415 is 1

LCM of denominators i.e. for 90,98,78,60 is 114660.

Thus, GCF of Fractions is 1/114660.Finally, GCF of Fractions for 47/90, 27/98, 35/78, 415/60 is 1/114660.