Greatest Common Factor of 351/246, 2301/8206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/246, 2301/8206

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 351/246,2301/8206

Given fractions are 351/246,2301/8206

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 351,2301

Greatest Common Factor of Numerators i.e. GCF of 351,2301 is 39 .

LCM of Denominators means LCM of 246,8206 as per the given fractions.

LCM of 246,8206 is 1009338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,2301

GCF of Fractions 351/246,2301/8206 is 39/1009338

3 351, 2301
13 117, 767
9, 59

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 351,2301 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,2301 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 2301

List of positive integer factors of 2301 that divides 2301 without a remainder.

1,3,13,39,59,177,767,2301

Greatest Common Factor

We found the factors 351,2301 . The biggest common factor number is the GCF number.
So the greatest common factor 351,2301 is 39.

Lets's calculate LCM of 246,8206

2 246, 8206
123, 4103

∴ So the LCM of the given numbers is 2 x 123 x 4103 = 1009338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/1009338

Therefore, the GCF of Fractions 351/246,2301/8206 is 39/1009338

Least Common Multiple of 246,8206 with GCF Formula

Least Common Multiple of 246,8206 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 246,8206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,8206) = 2

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

GCF(246,8206) x common factors =2 x 1 = 2

LCM(246,8206) = ( 246 × 8206 ) / 2

LCM(246,8206) = 2018676 / 2

LCM(246,8206) = 1009338


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 351/246, 2301/8206

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 351/246, 2301/8206?

Answer: GCF of Numerators as per given numbers 351/246, 2301/8206 is

GCF of Numerators i.e. for 351,2301 is 39

LCM of denominators i.e. for 246,8206 is 1009338.

Thus, GCF of Fractions is 39/1009338.Finally, GCF of Fractions for 351/246, 2301/8206 is 39/1009338.