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, 568, 71, 420 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 568, 71, 420 is 1
GCD(771, 568, 71, 420) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 568, 71, 420 is 1
GCD(771, 568, 71, 420) = 1
Given Input numbers are 771, 568, 71, 420
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 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Greatest Common Divisior
We found the divisors of 771, 568, 71, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 568, 71, 420 is 1.
Therefore, GCD of numbers 771, 568, 71, 420 is 1
Given Input Data is 771, 568, 71, 420
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 71 is 71
Prime Factorization of 420 is 2 x 2 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(771, 568) = 437928
GCD(771, 568) = ( 771 x 568 ) / 437928
GCD(771, 568) = 437928 / 437928
GCD(771, 568) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
GCD(1, 420) = 420 / 420
GCD(1, 420) = 1
GCD of 771, 568, 71, 420 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 568, 71, 420?
GCD of 771, 568, 71, 420 is 1
2. Where do I get the detailed procedure to find GCD of 771, 568, 71, 420?
You can find a detailed procedure to find GCD of 771, 568, 71, 420 on our page.
3. How to find GCD of 771, 568, 71, 420 on a calculator?
You can find the GCD of 771, 568, 71, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.