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 562, 894, 32, 209 i.e. 1 largest integer that divides all the numbers equally.
GCD of 562, 894, 32, 209 is 1
GCD(562, 894, 32, 209) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 562, 894, 32, 209 is 1
GCD(562, 894, 32, 209) = 1
Given Input numbers are 562, 894, 32, 209
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Greatest Common Divisior
We found the divisors of 562, 894, 32, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 894, 32, 209 is 1.
Therefore, GCD of numbers 562, 894, 32, 209 is 1
Given Input Data is 562, 894, 32, 209
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 562 is 2 x 281
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 209 is 11 x 19
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(562, 894) = 251214
GCD(562, 894) = ( 562 x 894 ) / 251214
GCD(562, 894) = 502428 / 251214
GCD(562, 894) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 32) = 32
GCD(2, 32) = ( 2 x 32 ) / 32
GCD(2, 32) = 64 / 32
GCD(2, 32) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 209) = 418
GCD(2, 209) = ( 2 x 209 ) / 418
GCD(2, 209) = 418 / 418
GCD(2, 209) = 1
GCD of 562, 894, 32, 209 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 562, 894, 32, 209?
GCD of 562, 894, 32, 209 is 1
2. Where do I get the detailed procedure to find GCD of 562, 894, 32, 209?
You can find a detailed procedure to find GCD of 562, 894, 32, 209 on our page.
3. How to find GCD of 562, 894, 32, 209 on a calculator?
You can find the GCD of 562, 894, 32, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.