Greatest Common Factor of 1714/159, 4219/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1714/159, 4219/477

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 1714/159,4219/477

Given fractions are 1714/159,4219/477

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 1714,4219

Greatest Common Factor of Numerators i.e. GCF of 1714,4219 is 1 .

LCM of Denominators means LCM of 159,477 as per the given fractions.

LCM of 159,477 is 477 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1714,4219

GCF of Fractions 1714/159,4219/477 is 1/477

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

Greatest Common Factor of 1714,4219 By Matching Biggest Common Factor Method

Greatest Common Factor of 1714,4219 By Matching Biggest Common Factor Method

Factors of 1714

List of positive integer factors of 1714 that divides 1714 without a remainder.

1,2,857,1714

Factors of 4219

List of positive integer factors of 4219 that divides 4219 without a remainder.

1,4219

Greatest Common Factor

We found the factors 1714,4219 . The biggest common factor number is the GCF number.
So the greatest common factor 1714,4219 is 1.

Lets's calculate LCM of 159,477

3 159, 477
53 53, 159
1, 3

∴ So the LCM of the given numbers is 3 x 53 x 1 x 3 = 477

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477

Therefore, the GCF of Fractions 1714/159,4219/477 is 1/477

Least Common Multiple of 159,477 with GCF Formula

Least Common Multiple of 159,477 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 159,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,477) = 159

common factors(in case of two or more numbers have common factors) = 1

GCF(159,477) x common factors =159 x 1 = 159

LCM(159,477) = ( 159 × 477 ) / 159

LCM(159,477) = 75843 / 159

LCM(159,477) = 477


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 1714/159, 4219/477

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 1714/159, 4219/477?

Answer: GCF of Numerators as per given numbers 1714/159, 4219/477 is

GCF of Numerators i.e. for 1714,4219 is 1

LCM of denominators i.e. for 159,477 is 477.

Thus, GCF of Fractions is 1/477.Finally, GCF of Fractions for 1714/159, 4219/477 is 1/477.