Greatest Common Factor of 686/419, 4244/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/419, 4244/546

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 686/419,4244/546

Given fractions are 686/419,4244/546

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 686,4244

Greatest Common Factor of Numerators i.e. GCF of 686,4244 is 2 .

LCM of Denominators means LCM of 419,546 as per the given fractions.

LCM of 419,546 is 228774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,4244

GCF of Fractions 686/419,4244/546 is 2/228774

2 686, 4244
343, 2122

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 686,4244 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,4244 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 4244

List of positive integer factors of 4244 that divides 4244 without a remainder.

1,2,4,1061,2122,4244

Greatest Common Factor

We found the factors 686,4244 . The biggest common factor number is the GCF number.
So the greatest common factor 686,4244 is 2.

Lets's calculate LCM of 419,546

Given numbers has no common factors except 1. So, there LCM is their product i.e 228774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/228774

Therefore, the GCF of Fractions 686/419,4244/546 is 2/228774

Least Common Multiple of 419,546 with GCF Formula

Least Common Multiple of 419,546 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 419,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,546) = 1

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

GCF(419,546) x common factors =1 x 1 = 1

LCM(419,546) = ( 419 × 546 ) / 1

LCM(419,546) = 228774 / 1

LCM(419,546) = 228774


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 686/419, 4244/546

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 686/419, 4244/546?

Answer: GCF of Numerators as per given numbers 686/419, 4244/546 is

GCF of Numerators i.e. for 686,4244 is 2

LCM of denominators i.e. for 419,546 is 228774.

Thus, GCF of Fractions is 2/228774.Finally, GCF of Fractions for 686/419, 4244/546 is 2/228774.