Greatest Common Factor of 8062/827, 2208/2397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8062/827, 2208/2397

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 8062/827,2208/2397

Given fractions are 8062/827,2208/2397

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 8062,2208

Greatest Common Factor of Numerators i.e. GCF of 8062,2208 is 2 .

LCM of Denominators means LCM of 827,2397 as per the given fractions.

LCM of 827,2397 is 1982319 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8062,2208

GCF of Fractions 8062/827,2208/2397 is 2/1982319

2 8062, 2208
4031, 1104

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

Greatest Common Factor of 8062,2208 By Matching Biggest Common Factor Method

Greatest Common Factor of 8062,2208 By Matching Biggest Common Factor Method

Factors of 8062

List of positive integer factors of 8062 that divides 8062 without a remainder.

1,2,29,58,139,278,4031,8062

Factors of 2208

List of positive integer factors of 2208 that divides 2208 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,69,92,96,138,184,276,368,552,736,1104,2208

Greatest Common Factor

We found the factors 8062,2208 . The biggest common factor number is the GCF number.
So the greatest common factor 8062,2208 is 2.

Lets's calculate LCM of 827,2397

Given numbers has no common factors except 1. So, there LCM is their product i.e 1982319

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1982319

Therefore, the GCF of Fractions 8062/827,2208/2397 is 2/1982319

Least Common Multiple of 827,2397 with GCF Formula

Least Common Multiple of 827,2397 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 827,2397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,2397) = 1

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

GCF(827,2397) x common factors =1 x 1 = 1

LCM(827,2397) = ( 827 × 2397 ) / 1

LCM(827,2397) = 1982319 / 1

LCM(827,2397) = 1982319


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 8062/827, 2208/2397

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 8062/827, 2208/2397?

Answer: GCF of Numerators as per given numbers 8062/827, 2208/2397 is

GCF of Numerators i.e. for 8062,2208 is 2

LCM of denominators i.e. for 827,2397 is 1982319.

Thus, GCF of Fractions is 2/1982319.Finally, GCF of Fractions for 8062/827, 2208/2397 is 2/1982319.