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 690, 158, 36, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 158, 36, 913 is 1
GCD(690, 158, 36, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 158, 36, 913 is 1
GCD(690, 158, 36, 913) = 1
Given Input numbers are 690, 158, 36, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
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 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 690, 158, 36, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 158, 36, 913 is 1.
Therefore, GCD of numbers 690, 158, 36, 913 is 1
Given Input Data is 690, 158, 36, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 158 is 2 x 79
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 913 is 11 x 83
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(690, 158) = 54510
GCD(690, 158) = ( 690 x 158 ) / 54510
GCD(690, 158) = 109020 / 54510
GCD(690, 158) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 913) = 1826
GCD(2, 913) = ( 2 x 913 ) / 1826
GCD(2, 913) = 1826 / 1826
GCD(2, 913) = 1
GCD of 690, 158, 36, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 158, 36, 913?
GCD of 690, 158, 36, 913 is 1
2. Where do I get the detailed procedure to find GCD of 690, 158, 36, 913?
You can find a detailed procedure to find GCD of 690, 158, 36, 913 on our page.
3. How to find GCD of 690, 158, 36, 913 on a calculator?
You can find the GCD of 690, 158, 36, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.