Greatest Common Factor of 19/86, 35/43, 19/14, 46/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 19/86, 35/43, 19/14, 46/724

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 19/86,35/43,19/14,46/724

Given fractions are 19/86,35/43,19/14,46/724

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 19,35,19,46

Greatest Common Factor of Numerators i.e. GCF of 19,35,19,46 is 1 .

LCM of Denominators means LCM of 86,43,14,724 as per the given fractions.

LCM of 86,43,14,724 is 217924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 19,35,19,46

GCF of Fractions 19/86,35/43,19/14,46/724 is 1/217924

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

Greatest Common Factor of 19,35,19,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,35,19,46 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 35

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

1,5,7,35

Factors of 19

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

1,19

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors 19,35,19,46 . The biggest common factor number is the GCF number.
So the greatest common factor 19,35,19,46 is 1.

Lets's calculate LCM of 86,43,14,724

2 86, 43, 14, 724
43 43, 43, 7, 362
1, 1, 7, 362

∴ So the LCM of the given numbers is 2 x 43 x 1 x 1 x 7 x 362 = 217924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217924

Therefore, the GCF of Fractions 19/86,35/43,19/14,46/724 is 1/217924

Least Common Multiple of 86,43,14,724 with GCF Formula

Least Common Multiple of 86,43,14,724 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 86,43,14,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,43,14,724) = 1

common factors(in case of two or more numbers have common factors) = 172

GCF(86,43,14,724) x common factors =1 x 172 = 172

LCM(86,43,14,724) = ( 86 × 43 × 14 × 724 ) / 172

LCM(86,43,14,724) = 37482928 / 172

LCM(86,43,14,724) = 217924


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 19/86, 35/43, 19/14, 46/724

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 19/86, 35/43, 19/14, 46/724?

Answer: GCF of Numerators as per given numbers 19/86, 35/43, 19/14, 46/724 is

GCF of Numerators i.e. for 19,35,19,46 is 1

LCM of denominators i.e. for 86,43,14,724 is 217924.

Thus, GCF of Fractions is 1/217924.Finally, GCF of Fractions for 19/86, 35/43, 19/14, 46/724 is 1/217924.