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, 231, 625, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 231, 625, 945 is 1
GCD(690, 231, 625, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 231, 625, 945 is 1
GCD(690, 231, 625, 945) = 1
Given Input numbers are 690, 231, 625, 945
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 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 690, 231, 625, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 231, 625, 945 is 1.
Therefore, GCD of numbers 690, 231, 625, 945 is 1
Given Input Data is 690, 231, 625, 945
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 231 is 3 x 7 x 11
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
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, 231) = 53130
GCD(690, 231) = ( 690 x 231 ) / 53130
GCD(690, 231) = 159390 / 53130
GCD(690, 231) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 625) = 1875
GCD(3, 625) = ( 3 x 625 ) / 1875
GCD(3, 625) = 1875 / 1875
GCD(3, 625) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
GCD of 690, 231, 625, 945 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 231, 625, 945?
GCD of 690, 231, 625, 945 is 1
2. Where do I get the detailed procedure to find GCD of 690, 231, 625, 945?
You can find a detailed procedure to find GCD of 690, 231, 625, 945 on our page.
3. How to find GCD of 690, 231, 625, 945 on a calculator?
You can find the GCD of 690, 231, 625, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.