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 501, 142, 32, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 142, 32, 153 is 1
GCD(501, 142, 32, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 142, 32, 153 is 1
GCD(501, 142, 32, 153) = 1
Given Input numbers are 501, 142, 32, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 501, 142, 32, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 142, 32, 153 is 1.
Therefore, GCD of numbers 501, 142, 32, 153 is 1
Given Input Data is 501, 142, 32, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 142 is 2 x 71
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 153 is 3 x 3 x 17
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(501, 142) = 71142
GCD(501, 142) = ( 501 x 142 ) / 71142
GCD(501, 142) = 71142 / 71142
GCD(501, 142) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 501, 142, 32, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 142, 32, 153?
GCD of 501, 142, 32, 153 is 1
2. Where do I get the detailed procedure to find GCD of 501, 142, 32, 153?
You can find a detailed procedure to find GCD of 501, 142, 32, 153 on our page.
3. How to find GCD of 501, 142, 32, 153 on a calculator?
You can find the GCD of 501, 142, 32, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.