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 692, 145, 529, 736 i.e. 1 largest integer that divides all the numbers equally.
GCD of 692, 145, 529, 736 is 1
GCD(692, 145, 529, 736) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 692, 145, 529, 736 is 1
GCD(692, 145, 529, 736) = 1
Given Input numbers are 692, 145, 529, 736
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 692, 145, 529, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 145, 529, 736 is 1.
Therefore, GCD of numbers 692, 145, 529, 736 is 1
Given Input Data is 692, 145, 529, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 145 is 5 x 29
Prime Factorization of 529 is 23 x 23
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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(692, 145) = 100340
GCD(692, 145) = ( 692 x 145 ) / 100340
GCD(692, 145) = 100340 / 100340
GCD(692, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
GCD of 692, 145, 529, 736 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 692, 145, 529, 736?
GCD of 692, 145, 529, 736 is 1
2. Where do I get the detailed procedure to find GCD of 692, 145, 529, 736?
You can find a detailed procedure to find GCD of 692, 145, 529, 736 on our page.
3. How to find GCD of 692, 145, 529, 736 on a calculator?
You can find the GCD of 692, 145, 529, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.