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, 920, 34, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 920, 34, 771 is 1
GCD(531, 920, 34, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 920, 34, 771 is 1
GCD(531, 920, 34, 771) = 1
Given Input numbers are 531, 920, 34, 771
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 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 531, 920, 34, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 920, 34, 771 is 1.
Therefore, GCD of numbers 531, 920, 34, 771 is 1
Given Input Data is 531, 920, 34, 771
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 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 34 is 2 x 17
Prime Factorization of 771 is 3 x 257
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, 920) = 488520
GCD(531, 920) = ( 531 x 920 ) / 488520
GCD(531, 920) = 488520 / 488520
GCD(531, 920) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 34) = 34
GCD(1, 34) = ( 1 x 34 ) / 34
GCD(1, 34) = 34 / 34
GCD(1, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
GCD of 531, 920, 34, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 920, 34, 771?
GCD of 531, 920, 34, 771 is 1
2. Where do I get the detailed procedure to find GCD of 531, 920, 34, 771?
You can find a detailed procedure to find GCD of 531, 920, 34, 771 on our page.
3. How to find GCD of 531, 920, 34, 771 on a calculator?
You can find the GCD of 531, 920, 34, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.