Greatest Common Factor of 4206/34, 1485/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4206/34, 1485/346

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 4206/34,1485/346

Given fractions are 4206/34,1485/346

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 4206,1485

Greatest Common Factor of Numerators i.e. GCF of 4206,1485 is 3 .

LCM of Denominators means LCM of 34,346 as per the given fractions.

LCM of 34,346 is 5882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4206,1485

GCF of Fractions 4206/34,1485/346 is 3/5882

3 4206, 1485
1402, 495

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4206,1485 By Matching Biggest Common Factor Method

Greatest Common Factor of 4206,1485 By Matching Biggest Common Factor Method

Factors of 4206

List of positive integer factors of 4206 that divides 4206 without a remainder.

1,2,3,6,701,1402,2103,4206

Factors of 1485

List of positive integer factors of 1485 that divides 1485 without a remainder.

1,3,5,9,11,15,27,33,45,55,99,135,165,297,495,1485

Greatest Common Factor

We found the factors 4206,1485 . The biggest common factor number is the GCF number.
So the greatest common factor 4206,1485 is 3.

Lets's calculate LCM of 34,346

2 34, 346
17, 173

∴ So the LCM of the given numbers is 2 x 17 x 173 = 5882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5882

Therefore, the GCF of Fractions 4206/34,1485/346 is 3/5882

Least Common Multiple of 34,346 with GCF Formula

Least Common Multiple of 34,346 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 34,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,346) = 2

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

GCF(34,346) x common factors =2 x 1 = 2

LCM(34,346) = ( 34 × 346 ) / 2

LCM(34,346) = 11764 / 2

LCM(34,346) = 5882


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 4206/34, 1485/346

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 4206/34, 1485/346?

Answer: GCF of Numerators as per given numbers 4206/34, 1485/346 is

GCF of Numerators i.e. for 4206,1485 is 3

LCM of denominators i.e. for 34,346 is 5882.

Thus, GCF of Fractions is 3/5882.Finally, GCF of Fractions for 4206/34, 1485/346 is 3/5882.