Greatest Common Factor of 4720/340, 3274/1849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4720/340, 3274/1849

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 4720/340,3274/1849

Given fractions are 4720/340,3274/1849

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 4720,3274

Greatest Common Factor of Numerators i.e. GCF of 4720,3274 is 2 .

LCM of Denominators means LCM of 340,1849 as per the given fractions.

LCM of 340,1849 is 628660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4720,3274

GCF of Fractions 4720/340,3274/1849 is 2/628660

2 4720, 3274
2360, 1637

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

Greatest Common Factor of 4720,3274 By Matching Biggest Common Factor Method

Greatest Common Factor of 4720,3274 By Matching Biggest Common Factor Method

Factors of 4720

List of positive integer factors of 4720 that divides 4720 without a remainder.

1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720

Factors of 3274

List of positive integer factors of 3274 that divides 3274 without a remainder.

1,2,1637,3274

Greatest Common Factor

We found the factors 4720,3274 . The biggest common factor number is the GCF number.
So the greatest common factor 4720,3274 is 2.

Lets's calculate LCM of 340,1849

Given numbers has no common factors except 1. So, there LCM is their product i.e 628660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/628660

Therefore, the GCF of Fractions 4720/340,3274/1849 is 2/628660

Least Common Multiple of 340,1849 with GCF Formula

Least Common Multiple of 340,1849 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 340,1849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,1849) = 1

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

GCF(340,1849) x common factors =1 x 1 = 1

LCM(340,1849) = ( 340 × 1849 ) / 1

LCM(340,1849) = 628660 / 1

LCM(340,1849) = 628660


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 4720/340, 3274/1849

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 4720/340, 3274/1849?

Answer: GCF of Numerators as per given numbers 4720/340, 3274/1849 is

GCF of Numerators i.e. for 4720,3274 is 2

LCM of denominators i.e. for 340,1849 is 628660.

Thus, GCF of Fractions is 2/628660.Finally, GCF of Fractions for 4720/340, 3274/1849 is 2/628660.