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, 545, 252, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 545, 252, 388 is 1
GCD(690, 545, 252, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 545, 252, 388 is 1
GCD(690, 545, 252, 388) = 1
Given Input numbers are 690, 545, 252, 388
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 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 690, 545, 252, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 545, 252, 388 is 1.
Therefore, GCD of numbers 690, 545, 252, 388 is 1
Given Input Data is 690, 545, 252, 388
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 545 is 5 x 109
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 388 is 2 x 2 x 97
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(690, 545) = 75210
GCD(690, 545) = ( 690 x 545 ) / 75210
GCD(690, 545) = 376050 / 75210
GCD(690, 545) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 252) = 1260
GCD(5, 252) = ( 5 x 252 ) / 1260
GCD(5, 252) = 1260 / 1260
GCD(5, 252) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 690, 545, 252, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 545, 252, 388?
GCD of 690, 545, 252, 388 is 1
2. Where do I get the detailed procedure to find GCD of 690, 545, 252, 388?
You can find a detailed procedure to find GCD of 690, 545, 252, 388 on our page.
3. How to find GCD of 690, 545, 252, 388 on a calculator?
You can find the GCD of 690, 545, 252, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.