Greatest Common Factor of 3/90, 19/88, 56/589, 610/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/90, 19/88, 56/589, 610/475

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 3/90,19/88,56/589,610/475

Given fractions are 3/90,19/88,56/589,610/475

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 3,19,56,610

Greatest Common Factor of Numerators i.e. GCF of 3,19,56,610 is 1 .

LCM of Denominators means LCM of 90,88,589,475 as per the given fractions.

LCM of 90,88,589,475 is 11662200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,19,56,610

GCF of Fractions 3/90,19/88,56/589,610/475 is 1/11662200

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

Greatest Common Factor of 3,19,56,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,19,56,610 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 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 3,19,56,610 . The biggest common factor number is the GCF number.
So the greatest common factor 3,19,56,610 is 1.

Lets's calculate LCM of 90,88,589,475

2 90, 88, 589, 475
5 45, 44, 589, 475
19 9, 44, 589, 95
9, 44, 31, 5

∴ So the LCM of the given numbers is 2 x 5 x 19 x 9 x 44 x 31 x 5 = 11662200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11662200

Therefore, the GCF of Fractions 3/90,19/88,56/589,610/475 is 1/11662200

Least Common Multiple of 90,88,589,475 with GCF Formula

Least Common Multiple of 90,88,589,475 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 90,88,589,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,88,589,475) = 1

common factors(in case of two or more numbers have common factors) = 190

GCF(90,88,589,475) x common factors =1 x 190 = 190

LCM(90,88,589,475) = ( 90 × 88 × 589 × 475 ) / 190

LCM(90,88,589,475) = 2215818000 / 190

LCM(90,88,589,475) = 11662200


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 3/90, 19/88, 56/589, 610/475

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 3/90, 19/88, 56/589, 610/475?

Answer: GCF of Numerators as per given numbers 3/90, 19/88, 56/589, 610/475 is

GCF of Numerators i.e. for 3,19,56,610 is 1

LCM of denominators i.e. for 90,88,589,475 is 11662200.

Thus, GCF of Fractions is 1/11662200.Finally, GCF of Fractions for 3/90, 19/88, 56/589, 610/475 is 1/11662200.