Online GCD Calculator is useful to find the GCD of 156, 100, 403, 422 quickly. Get the easiest ways to solve the greatest common divisor of 156, 100, 403, 422 i.e 1 in different methods as follows.
Given Input numbers are 156, 100, 403, 422
In the factoring method, we have to find the divisors of all numbers
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 403 :
The positive integer divisors of 403 that completely divides 403 are.
1, 13, 31, 403
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (156, 100, 403, 422) = 1.
Given numbers are 156, 100, 403, 422
The list of prime factors of all numbers are
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 403 are 13 x 31
Prime factors of 422 are 2 x 211
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 156, 100, 403, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(156, 100) = 3900
GCD(156, 100) = ( 156 x 100 ) / 3900
= 156 / 100
= 156
Step2:
LCM(4, 403) = 1612
GCD(4, 403) = ( 4 x 403 ) / 1612
= 4 / 403
= 4
Step3:
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
= 1 / 422
= 1
So, Greatest Common Divisor of 156, 100, 403, 422 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 156, 100, 403, 422
The greatest common divisor of numbers 156, 100, 403, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 100, 403, 422 is 1.
1. What is the GCD of 156, 100, 403, 422?
GCD of given numbers 156, 100, 403, 422 is 1
2. How to calculate the greatest common divisor of 156, 100, 403, 422?
We can find the highest common divisor of 156, 100, 403, 422 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 156, 100, 403, 422 i.e 1.
3. How can I use the GCD of 156, 100, 403, 422Calculator?
Out the numbers 156, 100, 403, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.