Greatest Common Factor of 19/59, 375/92, 717/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 19/59, 375/92, 717/190

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 19/59,375/92,717/190

Given fractions are 19/59,375/92,717/190

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 19,375,717

Greatest Common Factor of Numerators i.e. GCF of 19,375,717 is 1 .

LCM of Denominators means LCM of 59,92,190 as per the given fractions.

LCM of 59,92,190 is 515660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 19,375,717

GCF of Fractions 19/59,375/92,717/190 is 1/515660

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

Greatest Common Factor of 19,375,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,375,717 By Matching Biggest Common Factor Method

Factors of 19

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

1,19

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 19,375,717 . The biggest common factor number is the GCF number.
So the greatest common factor 19,375,717 is 1.

Lets's calculate LCM of 59,92,190

2 59, 92, 190
59, 46, 95

∴ So the LCM of the given numbers is 2 x 59 x 46 x 95 = 515660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/515660

Therefore, the GCF of Fractions 19/59,375/92,717/190 is 1/515660

Least Common Multiple of 59,92,190 with GCF Formula

Least Common Multiple of 59,92,190 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 59,92,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,92,190) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(59,92,190) x common factors =1 x 2 = 2

LCM(59,92,190) = ( 59 × 92 × 190 ) / 2

LCM(59,92,190) = 1031320 / 2

LCM(59,92,190) = 515660


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 19/59, 375/92, 717/190

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 19/59, 375/92, 717/190?

Answer: GCF of Numerators as per given numbers 19/59, 375/92, 717/190 is

GCF of Numerators i.e. for 19,375,717 is 1

LCM of denominators i.e. for 59,92,190 is 515660.

Thus, GCF of Fractions is 1/515660.Finally, GCF of Fractions for 19/59, 375/92, 717/190 is 1/515660.