Greatest Common Factor of 813/622, 4614/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 813/622, 4614/827

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 813/622,4614/827

Given fractions are 813/622,4614/827

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 813,4614

Greatest Common Factor of Numerators i.e. GCF of 813,4614 is 3 .

LCM of Denominators means LCM of 622,827 as per the given fractions.

LCM of 622,827 is 514394 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 813,4614

GCF of Fractions 813/622,4614/827 is 3/514394

3 813, 4614
271, 1538

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 813,4614 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,4614 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 4614

List of positive integer factors of 4614 that divides 4614 without a remainder.

1,2,3,6,769,1538,2307,4614

Greatest Common Factor

We found the factors 813,4614 . The biggest common factor number is the GCF number.
So the greatest common factor 813,4614 is 3.

Lets's calculate LCM of 622,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 514394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/514394

Therefore, the GCF of Fractions 813/622,4614/827 is 3/514394

Least Common Multiple of 622,827 with GCF Formula

Least Common Multiple of 622,827 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 622,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,827) = 1

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

GCF(622,827) x common factors =1 x 1 = 1

LCM(622,827) = ( 622 × 827 ) / 1

LCM(622,827) = 514394 / 1

LCM(622,827) = 514394


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 813/622, 4614/827

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 813/622, 4614/827?

Answer: GCF of Numerators as per given numbers 813/622, 4614/827 is

GCF of Numerators i.e. for 813,4614 is 3

LCM of denominators i.e. for 622,827 is 514394.

Thus, GCF of Fractions is 3/514394.Finally, GCF of Fractions for 813/622, 4614/827 is 3/514394.