Greatest Common Factor of 8027/299, 8648/5055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8027/299, 8648/5055

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 8027/299,8648/5055

Given fractions are 8027/299,8648/5055

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 8027,8648

Greatest Common Factor of Numerators i.e. GCF of 8027,8648 is 23 .

LCM of Denominators means LCM of 299,5055 as per the given fractions.

LCM of 299,5055 is 1511445 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8027,8648

GCF of Fractions 8027/299,8648/5055 is 23/1511445

23 8027, 8648
349, 376

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 8027,8648 By Matching Biggest Common Factor Method

Greatest Common Factor of 8027,8648 By Matching Biggest Common Factor Method

Factors of 8027

List of positive integer factors of 8027 that divides 8027 without a remainder.

1,23,349,8027

Factors of 8648

List of positive integer factors of 8648 that divides 8648 without a remainder.

1,2,4,8,23,46,47,92,94,184,188,376,1081,2162,4324,8648

Greatest Common Factor

We found the factors 8027,8648 . The biggest common factor number is the GCF number.
So the greatest common factor 8027,8648 is 23.

Lets's calculate LCM of 299,5055

Given numbers has no common factors except 1. So, there LCM is their product i.e 1511445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/1511445

Therefore, the GCF of Fractions 8027/299,8648/5055 is 23/1511445

Least Common Multiple of 299,5055 with GCF Formula

Least Common Multiple of 299,5055 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 299,5055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,5055) = 1

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

GCF(299,5055) x common factors =1 x 1 = 1

LCM(299,5055) = ( 299 × 5055 ) / 1

LCM(299,5055) = 1511445 / 1

LCM(299,5055) = 1511445


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 8027/299, 8648/5055

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 8027/299, 8648/5055?

Answer: GCF of Numerators as per given numbers 8027/299, 8648/5055 is

GCF of Numerators i.e. for 8027,8648 is 23

LCM of denominators i.e. for 299,5055 is 1511445.

Thus, GCF of Fractions is 23/1511445.Finally, GCF of Fractions for 8027/299, 8648/5055 is 23/1511445.