Online GCD Calculator is useful to find the GCD of 355, 972, 226, 322 quickly. Get the easiest ways to solve the greatest common divisor of 355, 972, 226, 322 i.e 1 in different methods as follows.
Given Input numbers are 355, 972, 226, 322
In the factoring method, we have to find the divisors of all numbers
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (355, 972, 226, 322) = 1.
Given numbers are 355, 972, 226, 322
The list of prime factors of all numbers are
Prime factors of 355 are 5 x 71
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 226 are 2 x 113
Prime factors of 322 are 2 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 355, 972, 226, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(355, 972) = 345060
GCD(355, 972) = ( 355 x 972 ) / 345060
= 355 / 972
= 355
Step2:
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
= 1 / 226
= 1
Step3:
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
= 1 / 322
= 1
So, Greatest Common Divisor of 355, 972, 226, 322 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 355, 972, 226, 322
The greatest common divisor of numbers 355, 972, 226, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 972, 226, 322 is 1.
1. What is the GCD of 355, 972, 226, 322?
GCD of given numbers 355, 972, 226, 322 is 1
2. How to calculate the greatest common divisor of 355, 972, 226, 322?
We can find the highest common divisor of 355, 972, 226, 322 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 355, 972, 226, 322 i.e 1.
3. How can I use the GCD of 355, 972, 226, 322Calculator?
Out the numbers 355, 972, 226, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.