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, 852, 61, 553 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 852, 61, 553 is 1
GCD(936, 852, 61, 553) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 852, 61, 553 is 1
GCD(936, 852, 61, 553) = 1
Given Input numbers are 936, 852, 61, 553
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 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Greatest Common Divisior
We found the divisors of 936, 852, 61, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 852, 61, 553 is 1.
Therefore, GCD of numbers 936, 852, 61, 553 is 1
Given Input Data is 936, 852, 61, 553
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 852 is 2 x 2 x 3 x 71
Prime Factorization of 61 is 61
Prime Factorization of 553 is 7 x 79
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, 852) = 66456
GCD(936, 852) = ( 936 x 852 ) / 66456
GCD(936, 852) = 797472 / 66456
GCD(936, 852) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 61) = 732
GCD(12, 61) = ( 12 x 61 ) / 732
GCD(12, 61) = 732 / 732
GCD(12, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
GCD(1, 553) = 553 / 553
GCD(1, 553) = 1
GCD of 936, 852, 61, 553 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 852, 61, 553?
GCD of 936, 852, 61, 553 is 1
2. Where do I get the detailed procedure to find GCD of 936, 852, 61, 553?
You can find a detailed procedure to find GCD of 936, 852, 61, 553 on our page.
3. How to find GCD of 936, 852, 61, 553 on a calculator?
You can find the GCD of 936, 852, 61, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.