Online GCD Calculator is useful to find the GCD of 368, 213, 205, 972 quickly. Get the easiest ways to solve the greatest common divisor of 368, 213, 205, 972 i.e 1 in different methods as follows.
Given Input numbers are 368, 213, 205, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
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
GCD of numbers is the greatest common divisor
So, the GCD (368, 213, 205, 972) = 1.
Given numbers are 368, 213, 205, 972
The list of prime factors of all numbers are
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 213 are 3 x 71
Prime factors of 205 are 5 x 41
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 368, 213, 205, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(368, 213) = 78384
GCD(368, 213) = ( 368 x 213 ) / 78384
= 368 / 213
= 368
Step2:
LCM(1, 205) = 205
GCD(1, 205) = ( 1 x 205 ) / 205
= 1 / 205
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 368, 213, 205, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 368, 213, 205, 972
The greatest common divisor of numbers 368, 213, 205, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 213, 205, 972 is 1.
1. What is the GCD of 368, 213, 205, 972?
GCD of given numbers 368, 213, 205, 972 is 1
2. How to calculate the greatest common divisor of 368, 213, 205, 972?
We can find the highest common divisor of 368, 213, 205, 972 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 368, 213, 205, 972 i.e 1.
3. How can I use the GCD of 368, 213, 205, 972Calculator?
Out the numbers 368, 213, 205, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.