Online GCD Calculator is useful to find the GCD of 422, 402, 892, 420 quickly. Get the easiest ways to solve the greatest common divisor of 422, 402, 892, 420 i.e 2 in different methods as follows.
Given Input numbers are 422, 402, 892, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (422, 402, 892, 420) = 2.
Given numbers are 422, 402, 892, 420
The list of prime factors of all numbers are
Prime factors of 422 are 2 x 211
Prime factors of 402 are 2 x 3 x 67
Prime factors of 892 are 2 x 2 x 223
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 422, 402, 892, 420 is 2.
Given numbers are 422, 402, 892, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(422, 402) = 84822
GCD(422, 402) = ( 422 x 402 ) / 84822
= 422 / 402
= 422
Step2:
LCM(2, 892) = 892
GCD(2, 892) = ( 2 x 892 ) / 892
= 2 / 892
= 2
Step3:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 422, 402, 892, 420 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 422, 402, 892, 420
The greatest common divisor of numbers 422, 402, 892, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 402, 892, 420 is 2.
1. What is the GCD of 422, 402, 892, 420?
GCD of given numbers 422, 402, 892, 420 is 2
2. How to calculate the greatest common divisor of 422, 402, 892, 420?
We can find the highest common divisor of 422, 402, 892, 420 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 422, 402, 892, 420 i.e 2.
3. How can I use the GCD of 422, 402, 892, 420Calculator?
Out the numbers 422, 402, 892, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.