Greatest Common Factor of 3202/462, 4716/4559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3202/462, 4716/4559

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 3202/462,4716/4559

Given fractions are 3202/462,4716/4559

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 3202,4716

Greatest Common Factor of Numerators i.e. GCF of 3202,4716 is 2 .

LCM of Denominators means LCM of 462,4559 as per the given fractions.

LCM of 462,4559 is 2106258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3202,4716

GCF of Fractions 3202/462,4716/4559 is 2/2106258

2 3202, 4716
1601, 2358

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

Greatest Common Factor of 3202,4716 By Matching Biggest Common Factor Method

Greatest Common Factor of 3202,4716 By Matching Biggest Common Factor Method

Factors of 3202

List of positive integer factors of 3202 that divides 3202 without a remainder.

1,2,1601,3202

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716

Greatest Common Factor

We found the factors 3202,4716 . The biggest common factor number is the GCF number.
So the greatest common factor 3202,4716 is 2.

Lets's calculate LCM of 462,4559

Given numbers has no common factors except 1. So, there LCM is their product i.e 2106258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2106258

Therefore, the GCF of Fractions 3202/462,4716/4559 is 2/2106258

Least Common Multiple of 462,4559 with GCF Formula

Least Common Multiple of 462,4559 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 462,4559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,4559) = 1

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

GCF(462,4559) x common factors =1 x 1 = 1

LCM(462,4559) = ( 462 × 4559 ) / 1

LCM(462,4559) = 2106258 / 1

LCM(462,4559) = 2106258


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 3202/462, 4716/4559

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 3202/462, 4716/4559?

Answer: GCF of Numerators as per given numbers 3202/462, 4716/4559 is

GCF of Numerators i.e. for 3202,4716 is 2

LCM of denominators i.e. for 462,4559 is 2106258.

Thus, GCF of Fractions is 2/2106258.Finally, GCF of Fractions for 3202/462, 4716/4559 is 2/2106258.