Online GCD Calculator is useful to find the GCD of 972, 561, 565, 122 quickly. Get the easiest ways to solve the greatest common divisor of 972, 561, 565, 122 i.e 1 in different methods as follows.
Given Input numbers are 972, 561, 565, 122
In the factoring method, we have to find the divisors of all numbers
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 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 565 :
The positive integer divisors of 565 that completely divides 565 are.
1, 5, 113, 565
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
GCD of numbers is the greatest common divisor
So, the GCD (972, 561, 565, 122) = 1.
Given numbers are 972, 561, 565, 122
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 561 are 3 x 11 x 17
Prime factors of 565 are 5 x 113
Prime factors of 122 are 2 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 561, 565, 122
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 561) = 181764
GCD(972, 561) = ( 972 x 561 ) / 181764
= 972 / 561
= 972
Step2:
LCM(3, 565) = 1695
GCD(3, 565) = ( 3 x 565 ) / 1695
= 3 / 565
= 3
Step3:
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
= 1 / 122
= 1
So, Greatest Common Divisor of 972, 561, 565, 122 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 561, 565, 122
The greatest common divisor of numbers 972, 561, 565, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 561, 565, 122 is 1.
1. What is the GCD of 972, 561, 565, 122?
GCD of given numbers 972, 561, 565, 122 is 1
2. How to calculate the greatest common divisor of 972, 561, 565, 122?
We can find the highest common divisor of 972, 561, 565, 122 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 972, 561, 565, 122 i.e 1.
3. How can I use the GCD of 972, 561, 565, 122Calculator?
Out the numbers 972, 561, 565, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.