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 32, 608, 841, 507 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 608, 841, 507 is 1
GCD(32, 608, 841, 507) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 608, 841, 507 is 1
GCD(32, 608, 841, 507) = 1
Given Input numbers are 32, 608, 841, 507
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Greatest Common Divisior
We found the divisors of 32, 608, 841, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 608, 841, 507 is 1.
Therefore, GCD of numbers 32, 608, 841, 507 is 1
Given Input Data is 32, 608, 841, 507
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 841 is 29 x 29
Prime Factorization of 507 is 3 x 13 x 13
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(32, 608) = 608
GCD(32, 608) = ( 32 x 608 ) / 608
GCD(32, 608) = 19456 / 608
GCD(32, 608) = 32
Step2:
Here we consider the GCD from the above i.e. 32 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(32, 841) = 26912
GCD(32, 841) = ( 32 x 841 ) / 26912
GCD(32, 841) = 26912 / 26912
GCD(32, 841) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
GCD of 32, 608, 841, 507 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 608, 841, 507?
GCD of 32, 608, 841, 507 is 1
2. Where do I get the detailed procedure to find GCD of 32, 608, 841, 507?
You can find a detailed procedure to find GCD of 32, 608, 841, 507 on our page.
3. How to find GCD of 32, 608, 841, 507 on a calculator?
You can find the GCD of 32, 608, 841, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.