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 72, 155, 801, 496 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 155, 801, 496 is 1
GCD(72, 155, 801, 496) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 155, 801, 496 is 1
GCD(72, 155, 801, 496) = 1
Given Input numbers are 72, 155, 801, 496
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Greatest Common Divisior
We found the divisors of 72, 155, 801, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 155, 801, 496 is 1.
Therefore, GCD of numbers 72, 155, 801, 496 is 1
Given Input Data is 72, 155, 801, 496
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 155 is 5 x 31
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
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(72, 155) = 11160
GCD(72, 155) = ( 72 x 155 ) / 11160
GCD(72, 155) = 11160 / 11160
GCD(72, 155) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 801) = 801
GCD(1, 801) = ( 1 x 801 ) / 801
GCD(1, 801) = 801 / 801
GCD(1, 801) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
GCD of 72, 155, 801, 496 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 155, 801, 496?
GCD of 72, 155, 801, 496 is 1
2. Where do I get the detailed procedure to find GCD of 72, 155, 801, 496?
You can find a detailed procedure to find GCD of 72, 155, 801, 496 on our page.
3. How to find GCD of 72, 155, 801, 496 on a calculator?
You can find the GCD of 72, 155, 801, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.