Online GCD Calculator is useful to find the GCD of 442, 533, 814, 972 quickly. Get the easiest ways to solve the greatest common divisor of 442, 533, 814, 972 i.e 1 in different methods as follows.
Given Input numbers are 442, 533, 814, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
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 (442, 533, 814, 972) = 1.
Given numbers are 442, 533, 814, 972
The list of prime factors of all numbers are
Prime factors of 442 are 2 x 13 x 17
Prime factors of 533 are 13 x 41
Prime factors of 814 are 2 x 11 x 37
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 442, 533, 814, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(442, 533) = 18122
GCD(442, 533) = ( 442 x 533 ) / 18122
= 442 / 533
= 442
Step2:
LCM(13, 814) = 10582
GCD(13, 814) = ( 13 x 814 ) / 10582
= 13 / 814
= 13
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 442, 533, 814, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 442, 533, 814, 972
The greatest common divisor of numbers 442, 533, 814, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 533, 814, 972 is 1.
1. What is the GCD of 442, 533, 814, 972?
GCD of given numbers 442, 533, 814, 972 is 1
2. How to calculate the greatest common divisor of 442, 533, 814, 972?
We can find the highest common divisor of 442, 533, 814, 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 442, 533, 814, 972 i.e 1.
3. How can I use the GCD of 442, 533, 814, 972Calculator?
Out the numbers 442, 533, 814, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.