Greatest Common Factor of 340/3389, 660/8629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 340/3389, 660/8629

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 340/3389,660/8629

Given fractions are 340/3389,660/8629

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 340,660

Greatest Common Factor of Numerators i.e. GCF of 340,660 is 20 .

LCM of Denominators means LCM of 3389,8629 as per the given fractions.

LCM of 3389,8629 is 29243681 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 340,660

GCF of Fractions 340/3389,660/8629 is 20/29243681

2 340, 660
2 170, 330
5 85, 165
17, 33

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 340,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,660 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 340,660 . The biggest common factor number is the GCF number.
So the greatest common factor 340,660 is 20.

Lets's calculate LCM of 3389,8629

Given numbers has no common factors except 1. So, there LCM is their product i.e 29243681

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/29243681

Therefore, the GCF of Fractions 340/3389,660/8629 is 20/29243681

Least Common Multiple of 3389,8629 with GCF Formula

Least Common Multiple of 3389,8629 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 3389,8629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3389,8629) = 1

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

GCF(3389,8629) x common factors =1 x 1 = 1

LCM(3389,8629) = ( 3389 × 8629 ) / 1

LCM(3389,8629) = 29243681 / 1

LCM(3389,8629) = 29243681


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 340/3389, 660/8629

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 340/3389, 660/8629?

Answer: GCF of Numerators as per given numbers 340/3389, 660/8629 is

GCF of Numerators i.e. for 340,660 is 20

LCM of denominators i.e. for 3389,8629 is 29243681.

Thus, GCF of Fractions is 20/29243681.Finally, GCF of Fractions for 340/3389, 660/8629 is 20/29243681.