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 420, 918, 961, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 420, 918, 961, 535 is 1
GCD(420, 918, 961, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 918, 961, 535 is 1
GCD(420, 918, 961, 535) = 1
Given Input numbers are 420, 918, 961, 535
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Greatest Common Divisior
We found the divisors of 420, 918, 961, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 918, 961, 535 is 1.
Therefore, GCD of numbers 420, 918, 961, 535 is 1
Given Input Data is 420, 918, 961, 535
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 961 is 31 x 31
Prime Factorization of 535 is 5 x 107
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(420, 918) = 64260
GCD(420, 918) = ( 420 x 918 ) / 64260
GCD(420, 918) = 385560 / 64260
GCD(420, 918) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 961) = 5766
GCD(6, 961) = ( 6 x 961 ) / 5766
GCD(6, 961) = 5766 / 5766
GCD(6, 961) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
GCD of 420, 918, 961, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 918, 961, 535?
GCD of 420, 918, 961, 535 is 1
2. Where do I get the detailed procedure to find GCD of 420, 918, 961, 535?
You can find a detailed procedure to find GCD of 420, 918, 961, 535 on our page.
3. How to find GCD of 420, 918, 961, 535 on a calculator?
You can find the GCD of 420, 918, 961, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.