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 531, 697, 775, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 697, 775, 946 is 1
GCD(531, 697, 775, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 697, 775, 946 is 1
GCD(531, 697, 775, 946) = 1
Given Input numbers are 531, 697, 775, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 531, 697, 775, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 697, 775, 946 is 1.
Therefore, GCD of numbers 531, 697, 775, 946 is 1
Given Input Data is 531, 697, 775, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 697 is 17 x 41
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 946 is 2 x 11 x 43
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(531, 697) = 370107
GCD(531, 697) = ( 531 x 697 ) / 370107
GCD(531, 697) = 370107 / 370107
GCD(531, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 531, 697, 775, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 697, 775, 946?
GCD of 531, 697, 775, 946 is 1
2. Where do I get the detailed procedure to find GCD of 531, 697, 775, 946?
You can find a detailed procedure to find GCD of 531, 697, 775, 946 on our page.
3. How to find GCD of 531, 697, 775, 946 on a calculator?
You can find the GCD of 531, 697, 775, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.