Online GCD Calculator is useful to find the GCD of 240, 604, 33, 972 quickly. Get the easiest ways to solve the greatest common divisor of 240, 604, 33, 972 i.e 1 in different methods as follows.
Given Input numbers are 240, 604, 33, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
Divisors of 33 :
The positive integer divisors of 33 that completely divides 33 are.
1, 3, 11, 33
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 (240, 604, 33, 972) = 1.
Given numbers are 240, 604, 33, 972
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 604 are 2 x 2 x 151
Prime factors of 33 are 3 x 11
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 240, 604, 33, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 604) = 36240
GCD(240, 604) = ( 240 x 604 ) / 36240
= 240 / 604
= 240
Step2:
LCM(4, 33) = 132
GCD(4, 33) = ( 4 x 33 ) / 132
= 4 / 33
= 4
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 240, 604, 33, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 604, 33, 972
The greatest common divisor of numbers 240, 604, 33, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 604, 33, 972 is 1.
1. What is the GCD of 240, 604, 33, 972?
GCD of given numbers 240, 604, 33, 972 is 1
2. How to calculate the greatest common divisor of 240, 604, 33, 972?
We can find the highest common divisor of 240, 604, 33, 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 240, 604, 33, 972 i.e 1.
3. How can I use the GCD of 240, 604, 33, 972Calculator?
Out the numbers 240, 604, 33, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.