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 36, 755, 340, 551 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 755, 340, 551 is 1
GCD(36, 755, 340, 551) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 755, 340, 551 is 1
GCD(36, 755, 340, 551) = 1
Given Input numbers are 36, 755, 340, 551
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Greatest Common Divisior
We found the divisors of 36, 755, 340, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 755, 340, 551 is 1.
Therefore, GCD of numbers 36, 755, 340, 551 is 1
Given Input Data is 36, 755, 340, 551
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 755 is 5 x 151
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 551 is 19 x 29
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(36, 755) = 27180
GCD(36, 755) = ( 36 x 755 ) / 27180
GCD(36, 755) = 27180 / 27180
GCD(36, 755) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 551) = 551
GCD(1, 551) = ( 1 x 551 ) / 551
GCD(1, 551) = 551 / 551
GCD(1, 551) = 1
GCD of 36, 755, 340, 551 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 755, 340, 551?
GCD of 36, 755, 340, 551 is 1
2. Where do I get the detailed procedure to find GCD of 36, 755, 340, 551?
You can find a detailed procedure to find GCD of 36, 755, 340, 551 on our page.
3. How to find GCD of 36, 755, 340, 551 on a calculator?
You can find the GCD of 36, 755, 340, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.