Greatest Common Factor of 2245/461, 4635/4983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2245/461, 4635/4983

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 2245/461,4635/4983

Given fractions are 2245/461,4635/4983

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 2245,4635

Greatest Common Factor of Numerators i.e. GCF of 2245,4635 is 5 .

LCM of Denominators means LCM of 461,4983 as per the given fractions.

LCM of 461,4983 is 2297163 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2245,4635

GCF of Fractions 2245/461,4635/4983 is 5/2297163

5 2245, 4635
449, 927

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2245,4635 By Matching Biggest Common Factor Method

Greatest Common Factor of 2245,4635 By Matching Biggest Common Factor Method

Factors of 2245

List of positive integer factors of 2245 that divides 2245 without a remainder.

1,5,449,2245

Factors of 4635

List of positive integer factors of 4635 that divides 4635 without a remainder.

1,3,5,9,15,45,103,309,515,927,1545,4635

Greatest Common Factor

We found the factors 2245,4635 . The biggest common factor number is the GCF number.
So the greatest common factor 2245,4635 is 5.

Lets's calculate LCM of 461,4983

Given numbers has no common factors except 1. So, there LCM is their product i.e 2297163

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2297163

Therefore, the GCF of Fractions 2245/461,4635/4983 is 5/2297163

Least Common Multiple of 461,4983 with GCF Formula

Least Common Multiple of 461,4983 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 461,4983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,4983) = 1

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

GCF(461,4983) x common factors =1 x 1 = 1

LCM(461,4983) = ( 461 × 4983 ) / 1

LCM(461,4983) = 2297163 / 1

LCM(461,4983) = 2297163


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 2245/461, 4635/4983

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 2245/461, 4635/4983?

Answer: GCF of Numerators as per given numbers 2245/461, 4635/4983 is

GCF of Numerators i.e. for 2245,4635 is 5

LCM of denominators i.e. for 461,4983 is 2297163.

Thus, GCF of Fractions is 5/2297163.Finally, GCF of Fractions for 2245/461, 4635/4983 is 5/2297163.