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 365, 689, 572, 754 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 689, 572, 754 is 1
GCD(365, 689, 572, 754) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 689, 572, 754 is 1
GCD(365, 689, 572, 754) = 1
Given Input numbers are 365, 689, 572, 754
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Greatest Common Divisior
We found the divisors of 365, 689, 572, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 689, 572, 754 is 1.
Therefore, GCD of numbers 365, 689, 572, 754 is 1
Given Input Data is 365, 689, 572, 754
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 689 is 13 x 53
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 754 is 2 x 13 x 29
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(365, 689) = 251485
GCD(365, 689) = ( 365 x 689 ) / 251485
GCD(365, 689) = 251485 / 251485
GCD(365, 689) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
GCD(1, 572) = 572 / 572
GCD(1, 572) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 754) = 754
GCD(1, 754) = ( 1 x 754 ) / 754
GCD(1, 754) = 754 / 754
GCD(1, 754) = 1
GCD of 365, 689, 572, 754 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 689, 572, 754?
GCD of 365, 689, 572, 754 is 1
2. Where do I get the detailed procedure to find GCD of 365, 689, 572, 754?
You can find a detailed procedure to find GCD of 365, 689, 572, 754 on our page.
3. How to find GCD of 365, 689, 572, 754 on a calculator?
You can find the GCD of 365, 689, 572, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.