Greatest Common Factor of 8273/73, 5311/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8273/73, 5311/827

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 8273/73,5311/827

Given fractions are 8273/73,5311/827

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 8273,5311

Greatest Common Factor of Numerators i.e. GCF of 8273,5311 is 1 .

LCM of Denominators means LCM of 73,827 as per the given fractions.

LCM of 73,827 is 60371 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8273,5311

GCF of Fractions 8273/73,5311/827 is 1/60371

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

Greatest Common Factor of 8273,5311 By Matching Biggest Common Factor Method

Greatest Common Factor of 8273,5311 By Matching Biggest Common Factor Method

Factors of 8273

List of positive integer factors of 8273 that divides 8273 without a remainder.

1,8273

Factors of 5311

List of positive integer factors of 5311 that divides 5311 without a remainder.

1,47,113,5311

Greatest Common Factor

We found the factors 8273,5311 . The biggest common factor number is the GCF number.
So the greatest common factor 8273,5311 is 1.

Lets's calculate LCM of 73,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 60371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60371

Therefore, the GCF of Fractions 8273/73,5311/827 is 1/60371

Least Common Multiple of 73,827 with GCF Formula

Least Common Multiple of 73,827 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 73,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,827) = 1

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

GCF(73,827) x common factors =1 x 1 = 1

LCM(73,827) = ( 73 × 827 ) / 1

LCM(73,827) = 60371 / 1

LCM(73,827) = 60371


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 8273/73, 5311/827

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 8273/73, 5311/827?

Answer: GCF of Numerators as per given numbers 8273/73, 5311/827 is

GCF of Numerators i.e. for 8273,5311 is 1

LCM of denominators i.e. for 73,827 is 60371.

Thus, GCF of Fractions is 1/60371.Finally, GCF of Fractions for 8273/73, 5311/827 is 1/60371.