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 80, 653, 692, 365 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 653, 692, 365 is 1
GCD(80, 653, 692, 365) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 653, 692, 365 is 1
GCD(80, 653, 692, 365) = 1
Given Input numbers are 80, 653, 692, 365
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Greatest Common Divisior
We found the divisors of 80, 653, 692, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 653, 692, 365 is 1.
Therefore, GCD of numbers 80, 653, 692, 365 is 1
Given Input Data is 80, 653, 692, 365
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 653 is 653
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 365 is 5 x 73
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(80, 653) = 52240
GCD(80, 653) = ( 80 x 653 ) / 52240
GCD(80, 653) = 52240 / 52240
GCD(80, 653) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 365
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 365) = 365
GCD(1, 365) = ( 1 x 365 ) / 365
GCD(1, 365) = 365 / 365
GCD(1, 365) = 1
GCD of 80, 653, 692, 365 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 653, 692, 365?
GCD of 80, 653, 692, 365 is 1
2. Where do I get the detailed procedure to find GCD of 80, 653, 692, 365?
You can find a detailed procedure to find GCD of 80, 653, 692, 365 on our page.
3. How to find GCD of 80, 653, 692, 365 on a calculator?
You can find the GCD of 80, 653, 692, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.