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 936, 149, 749, 584 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 149, 749, 584 is 1
GCD(936, 149, 749, 584) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 149, 749, 584 is 1
GCD(936, 149, 749, 584) = 1
Given Input numbers are 936, 149, 749, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 936
List of positive integer divisors 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
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 936, 149, 749, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 149, 749, 584 is 1.
Therefore, GCD of numbers 936, 149, 749, 584 is 1
Given Input Data is 936, 149, 749, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 149 is 149
Prime Factorization of 749 is 7 x 107
Prime Factorization of 584 is 2 x 2 x 2 x 73
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(936, 149) = 139464
GCD(936, 149) = ( 936 x 149 ) / 139464
GCD(936, 149) = 139464 / 139464
GCD(936, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
GCD(1, 749) = 749 / 749
GCD(1, 749) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
GCD(1, 584) = 584 / 584
GCD(1, 584) = 1
GCD of 936, 149, 749, 584 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 149, 749, 584?
GCD of 936, 149, 749, 584 is 1
2. Where do I get the detailed procedure to find GCD of 936, 149, 749, 584?
You can find a detailed procedure to find GCD of 936, 149, 749, 584 on our page.
3. How to find GCD of 936, 149, 749, 584 on a calculator?
You can find the GCD of 936, 149, 749, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.