Greatest Common Factor of 1721/220, 6340/3194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1721/220, 6340/3194

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 1721/220,6340/3194

Given fractions are 1721/220,6340/3194

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 1721,6340

Greatest Common Factor of Numerators i.e. GCF of 1721,6340 is 1 .

LCM of Denominators means LCM of 220,3194 as per the given fractions.

LCM of 220,3194 is 351340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1721,6340

GCF of Fractions 1721/220,6340/3194 is 1/351340

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

Greatest Common Factor of 1721,6340 By Matching Biggest Common Factor Method

Greatest Common Factor of 1721,6340 By Matching Biggest Common Factor Method

Factors of 1721

List of positive integer factors of 1721 that divides 1721 without a remainder.

1,1721

Factors of 6340

List of positive integer factors of 6340 that divides 6340 without a remainder.

1,2,4,5,10,20,317,634,1268,1585,3170,6340

Greatest Common Factor

We found the factors 1721,6340 . The biggest common factor number is the GCF number.
So the greatest common factor 1721,6340 is 1.

Lets's calculate LCM of 220,3194

2 220, 3194
110, 1597

∴ So the LCM of the given numbers is 2 x 110 x 1597 = 351340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351340

Therefore, the GCF of Fractions 1721/220,6340/3194 is 1/351340

Least Common Multiple of 220,3194 with GCF Formula

Least Common Multiple of 220,3194 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 220,3194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,3194) = 2

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

GCF(220,3194) x common factors =2 x 1 = 2

LCM(220,3194) = ( 220 × 3194 ) / 2

LCM(220,3194) = 702680 / 2

LCM(220,3194) = 351340


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 1721/220, 6340/3194

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 1721/220, 6340/3194?

Answer: GCF of Numerators as per given numbers 1721/220, 6340/3194 is

GCF of Numerators i.e. for 1721,6340 is 1

LCM of denominators i.e. for 220,3194 is 351340.

Thus, GCF of Fractions is 1/351340.Finally, GCF of Fractions for 1721/220, 6340/3194 is 1/351340.