GCD of 690, 529, 738 Calculator
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 690, 529, 738 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 529, 738 is 1
GCD(690, 529, 738) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 529, 738 is 1
GCD(690, 529, 738) = 1
GCDof 690,529,738 is 1
Given Input numbers are 690, 529, 738
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Greatest Common Divisior
We found the divisors of 690, 529, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 529, 738 is 1.
Therefore, GCD of numbers 690, 529, 738 is 1
Given Input Data is 690, 529, 738
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 529 is 23 x 23
Prime Factorization of 738 is 2 x 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 690, 529, 738 using LCM Formula
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(690, 529) = 15870
GCD(690, 529) = ( 690 x 529 ) / 15870
GCD(690, 529) = 365010 / 15870
GCD(690, 529) = 23
Step2:
Here we consider the GCD from the above i.e. 23 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 738) = 16974
GCD(23, 738) = ( 23 x 738 ) / 16974
GCD(23, 738) = 16974 / 16974
GCD(23, 738) = 1
GCD of 690, 529, 738 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 690, 529, 738
1. What is the GCD of 690, 529, 738?
GCD of 690, 529, 738 is 1
2. Where do I get the detailed procedure to find GCD of 690, 529, 738?
You can find a detailed procedure to find GCD of 690, 529, 738 on our page.
3. How to find GCD of 690, 529, 738 on a calculator?
You can find the GCD of 690, 529, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.