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, 645, 64, 224 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 645, 64, 224 is 1
GCD(936, 645, 64, 224) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 645, 64, 224 is 1
GCD(936, 645, 64, 224) = 1
Given Input numbers are 936, 645, 64, 224
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 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Greatest Common Divisior
We found the divisors of 936, 645, 64, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 645, 64, 224 is 1.
Therefore, GCD of numbers 936, 645, 64, 224 is 1
Given Input Data is 936, 645, 64, 224
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 645 is 3 x 5 x 43
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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(936, 645) = 201240
GCD(936, 645) = ( 936 x 645 ) / 201240
GCD(936, 645) = 603720 / 201240
GCD(936, 645) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 64) = 192
GCD(3, 64) = ( 3 x 64 ) / 192
GCD(3, 64) = 192 / 192
GCD(3, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
GCD(1, 224) = 224 / 224
GCD(1, 224) = 1
GCD of 936, 645, 64, 224 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 645, 64, 224?
GCD of 936, 645, 64, 224 is 1
2. Where do I get the detailed procedure to find GCD of 936, 645, 64, 224?
You can find a detailed procedure to find GCD of 936, 645, 64, 224 on our page.
3. How to find GCD of 936, 645, 64, 224 on a calculator?
You can find the GCD of 936, 645, 64, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.