Greatest Common Factor of 2397/827, 8816/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2397/827, 8816/511

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 2397/827,8816/511

Given fractions are 2397/827,8816/511

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 2397,8816

Greatest Common Factor of Numerators i.e. GCF of 2397,8816 is 1 .

LCM of Denominators means LCM of 827,511 as per the given fractions.

LCM of 827,511 is 422597 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2397,8816

GCF of Fractions 2397/827,8816/511 is 1/422597

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

Greatest Common Factor of 2397,8816 By Matching Biggest Common Factor Method

Greatest Common Factor of 2397,8816 By Matching Biggest Common Factor Method

Factors of 2397

List of positive integer factors of 2397 that divides 2397 without a remainder.

1,3,17,47,51,141,799,2397

Factors of 8816

List of positive integer factors of 8816 that divides 8816 without a remainder.

1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816

Greatest Common Factor

We found the factors 2397,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 2397,8816 is 1.

Lets's calculate LCM of 827,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 422597

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422597

Therefore, the GCF of Fractions 2397/827,8816/511 is 1/422597

Least Common Multiple of 827,511 with GCF Formula

Least Common Multiple of 827,511 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 827,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,511) = 1

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

GCF(827,511) x common factors =1 x 1 = 1

LCM(827,511) = ( 827 × 511 ) / 1

LCM(827,511) = 422597 / 1

LCM(827,511) = 422597


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 2397/827, 8816/511

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 2397/827, 8816/511?

Answer: GCF of Numerators as per given numbers 2397/827, 8816/511 is

GCF of Numerators i.e. for 2397,8816 is 1

LCM of denominators i.e. for 827,511 is 422597.

Thus, GCF of Fractions is 1/422597.Finally, GCF of Fractions for 2397/827, 8816/511 is 1/422597.