Online GCD Calculator is useful to find the GCD of 422, 712, 221, 156 quickly. Get the easiest ways to solve the greatest common divisor of 422, 712, 221, 156 i.e 1 in different methods as follows.
Given Input numbers are 422, 712, 221, 156
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 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
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
GCD of numbers is the greatest common divisor
So, the GCD (422, 712, 221, 156) = 1.
Given numbers are 422, 712, 221, 156
The list of prime factors of all numbers are
Prime factors of 422 are 2 x 211
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 221 are 13 x 17
Prime factors of 156 are 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 422, 712, 221, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(422, 712) = 150232
GCD(422, 712) = ( 422 x 712 ) / 150232
= 422 / 712
= 422
Step2:
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
= 2 / 221
= 2
Step3:
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
= 1 / 156
= 1
So, Greatest Common Divisor of 422, 712, 221, 156 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 422, 712, 221, 156
The greatest common divisor of numbers 422, 712, 221, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 712, 221, 156 is 1.
1. What is the GCD of 422, 712, 221, 156?
GCD of given numbers 422, 712, 221, 156 is 1
2. How to calculate the greatest common divisor of 422, 712, 221, 156?
We can find the highest common divisor of 422, 712, 221, 156 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, 712, 221, 156 i.e 1.
3. How can I use the GCD of 422, 712, 221, 156Calculator?
Out the numbers 422, 712, 221, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.