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, 651, 407, 956 i.e. 1 largest integer that divides all the numbers equally.
GCD of 420, 651, 407, 956 is 1
GCD(420, 651, 407, 956) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 651, 407, 956 is 1
GCD(420, 651, 407, 956) = 1
Given Input numbers are 420, 651, 407, 956
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 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Greatest Common Divisior
We found the divisors of 420, 651, 407, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 651, 407, 956 is 1.
Therefore, GCD of numbers 420, 651, 407, 956 is 1
Given Input Data is 420, 651, 407, 956
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 651 is 3 x 7 x 31
Prime Factorization of 407 is 11 x 37
Prime Factorization of 956 is 2 x 2 x 239
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, 651) = 13020
GCD(420, 651) = ( 420 x 651 ) / 13020
GCD(420, 651) = 273420 / 13020
GCD(420, 651) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 407) = 8547
GCD(21, 407) = ( 21 x 407 ) / 8547
GCD(21, 407) = 8547 / 8547
GCD(21, 407) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
GCD of 420, 651, 407, 956 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 651, 407, 956?
GCD of 420, 651, 407, 956 is 1
2. Where do I get the detailed procedure to find GCD of 420, 651, 407, 956?
You can find a detailed procedure to find GCD of 420, 651, 407, 956 on our page.
3. How to find GCD of 420, 651, 407, 956 on a calculator?
You can find the GCD of 420, 651, 407, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.