Greatest Common Factor of 2795/450, 8363/9916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2795/450, 8363/9916

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 2795/450,8363/9916

Given fractions are 2795/450,8363/9916

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 2795,8363

Greatest Common Factor of Numerators i.e. GCF of 2795,8363 is 1 .

LCM of Denominators means LCM of 450,9916 as per the given fractions.

LCM of 450,9916 is 2231100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2795,8363

GCF of Fractions 2795/450,8363/9916 is 1/2231100

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2795,8363 By Matching Biggest Common Factor Method

Greatest Common Factor of 2795,8363 By Matching Biggest Common Factor Method

Factors of 2795

List of positive integer factors of 2795 that divides 2795 without a remainder.

1,5,13,43,65,215,559,2795

Factors of 8363

List of positive integer factors of 8363 that divides 8363 without a remainder.

1,8363

Greatest Common Factor

We found the factors 2795,8363 . The biggest common factor number is the GCF number.
So the greatest common factor 2795,8363 is 1.

Lets's calculate LCM of 450,9916

2 450, 9916
225, 4958

∴ So the LCM of the given numbers is 2 x 225 x 4958 = 2231100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2231100

Therefore, the GCF of Fractions 2795/450,8363/9916 is 1/2231100

Least Common Multiple of 450,9916 with GCF Formula

Least Common Multiple of 450,9916 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 450,9916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,9916) = 2

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

GCF(450,9916) x common factors =2 x 1 = 2

LCM(450,9916) = ( 450 × 9916 ) / 2

LCM(450,9916) = 4462200 / 2

LCM(450,9916) = 2231100


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 2795/450, 8363/9916

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 2795/450, 8363/9916?

Answer: GCF of Numerators as per given numbers 2795/450, 8363/9916 is

GCF of Numerators i.e. for 2795,8363 is 1

LCM of denominators i.e. for 450,9916 is 2231100.

Thus, GCF of Fractions is 1/2231100.Finally, GCF of Fractions for 2795/450, 8363/9916 is 1/2231100.