Greatest Common Factor of 3466/342, 8410/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3466/342, 8410/693

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 3466/342,8410/693

Given fractions are 3466/342,8410/693

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 3466,8410

Greatest Common Factor of Numerators i.e. GCF of 3466,8410 is 2 .

LCM of Denominators means LCM of 342,693 as per the given fractions.

LCM of 342,693 is 26334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3466,8410

GCF of Fractions 3466/342,8410/693 is 2/26334

2 3466, 8410
1733, 4205

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

Greatest Common Factor of 3466,8410 By Matching Biggest Common Factor Method

Greatest Common Factor of 3466,8410 By Matching Biggest Common Factor Method

Factors of 3466

List of positive integer factors of 3466 that divides 3466 without a remainder.

1,2,1733,3466

Factors of 8410

List of positive integer factors of 8410 that divides 8410 without a remainder.

1,2,5,10,29,58,145,290,841,1682,4205,8410

Greatest Common Factor

We found the factors 3466,8410 . The biggest common factor number is the GCF number.
So the greatest common factor 3466,8410 is 2.

Lets's calculate LCM of 342,693

3 342, 693
3 114, 231
38, 77

∴ So the LCM of the given numbers is 3 x 3 x 38 x 77 = 26334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26334

Therefore, the GCF of Fractions 3466/342,8410/693 is 2/26334

Least Common Multiple of 342,693 with GCF Formula

Least Common Multiple of 342,693 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 342,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,693) = 9

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

GCF(342,693) x common factors =9 x 1 = 9

LCM(342,693) = ( 342 × 693 ) / 9

LCM(342,693) = 237006 / 9

LCM(342,693) = 26334


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 3466/342, 8410/693

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 3466/342, 8410/693?

Answer: GCF of Numerators as per given numbers 3466/342, 8410/693 is

GCF of Numerators i.e. for 3466,8410 is 2

LCM of denominators i.e. for 342,693 is 26334.

Thus, GCF of Fractions is 2/26334.Finally, GCF of Fractions for 3466/342, 8410/693 is 2/26334.