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 771, 525, 616, 558 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 525, 616, 558 is 1
GCD(771, 525, 616, 558) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 525, 616, 558 is 1
GCD(771, 525, 616, 558) = 1
Given Input numbers are 771, 525, 616, 558
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Greatest Common Divisior
We found the divisors of 771, 525, 616, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 525, 616, 558 is 1.
Therefore, GCD of numbers 771, 525, 616, 558 is 1
Given Input Data is 771, 525, 616, 558
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 558 is 2 x 3 x 3 x 31
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(771, 525) = 134925
GCD(771, 525) = ( 771 x 525 ) / 134925
GCD(771, 525) = 404775 / 134925
GCD(771, 525) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 616) = 1848
GCD(3, 616) = ( 3 x 616 ) / 1848
GCD(3, 616) = 1848 / 1848
GCD(3, 616) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 558
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 558) = 558
GCD(1, 558) = ( 1 x 558 ) / 558
GCD(1, 558) = 558 / 558
GCD(1, 558) = 1
GCD of 771, 525, 616, 558 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 525, 616, 558?
GCD of 771, 525, 616, 558 is 1
2. Where do I get the detailed procedure to find GCD of 771, 525, 616, 558?
You can find a detailed procedure to find GCD of 771, 525, 616, 558 on our page.
3. How to find GCD of 771, 525, 616, 558 on a calculator?
You can find the GCD of 771, 525, 616, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.