Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 56, 338, 412, 147 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 338, 412, 147 is 1
GCD(56, 338, 412, 147) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 338, 412, 147 is 1
GCD(56, 338, 412, 147) = 1
Given Input numbers are 56, 338, 412, 147
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Greatest Common Divisior
We found the divisors of 56, 338, 412, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 338, 412, 147 is 1.
Therefore, GCD of numbers 56, 338, 412, 147 is 1
Given Input Data is 56, 338, 412, 147
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 147 is 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(56, 338) = 9464
GCD(56, 338) = ( 56 x 338 ) / 9464
GCD(56, 338) = 18928 / 9464
GCD(56, 338) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 412) = 412
GCD(2, 412) = ( 2 x 412 ) / 412
GCD(2, 412) = 824 / 412
GCD(2, 412) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 147) = 294
GCD(2, 147) = ( 2 x 147 ) / 294
GCD(2, 147) = 294 / 294
GCD(2, 147) = 1
GCD of 56, 338, 412, 147 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 338, 412, 147?
GCD of 56, 338, 412, 147 is 1
2. Where do I get the detailed procedure to find GCD of 56, 338, 412, 147?
You can find a detailed procedure to find GCD of 56, 338, 412, 147 on our page.
3. How to find GCD of 56, 338, 412, 147 on a calculator?
You can find the GCD of 56, 338, 412, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.