Greatest Common Factor of 622/13, 936/73, 274/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 622/13, 936/73, 274/878

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 622/13,936/73,274/878

Given fractions are 622/13,936/73,274/878

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 622,936,274

Greatest Common Factor of Numerators i.e. GCF of 622,936,274 is 2 .

LCM of Denominators means LCM of 13,73,878 as per the given fractions.

LCM of 13,73,878 is 833222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 622,936,274

GCF of Fractions 622/13,936/73,274/878 is 2/833222

2 622, 936, 274
311, 468, 137

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

Greatest Common Factor of 622,936,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,936,274 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 622,936,274 . The biggest common factor number is the GCF number.
So the greatest common factor 622,936,274 is 2.

Lets's calculate LCM of 13,73,878

Given numbers has no common factors except 1. So, there LCM is their product i.e 833222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/833222

Therefore, the GCF of Fractions 622/13,936/73,274/878 is 2/833222

Least Common Multiple of 13,73,878 with GCF Formula

Least Common Multiple of 13,73,878 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 13,73,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,73,878) = 1

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

GCF(13,73,878) x common factors =1 x 1 = 1

LCM(13,73,878) = ( 13 × 73 × 878 ) / 1

LCM(13,73,878) = 833222 / 1

LCM(13,73,878) = 833222


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 622/13, 936/73, 274/878

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 622/13, 936/73, 274/878?

Answer: GCF of Numerators as per given numbers 622/13, 936/73, 274/878 is

GCF of Numerators i.e. for 622,936,274 is 2

LCM of denominators i.e. for 13,73,878 is 833222.

Thus, GCF of Fractions is 2/833222.Finally, GCF of Fractions for 622/13, 936/73, 274/878 is 2/833222.