Online GCD Calculator is useful to find the GCD of 972, 432, 616, 537 quickly. Get the easiest ways to solve the greatest common divisor of 972, 432, 616, 537 i.e 1 in different methods as follows.
Given Input numbers are 972, 432, 616, 537
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 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
GCD of numbers is the greatest common divisor
So, the GCD (972, 432, 616, 537) = 1.
Given numbers are 972, 432, 616, 537
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 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 537 are 3 x 179
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 432, 616, 537
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 432) = 3888
GCD(972, 432) = ( 972 x 432 ) / 3888
= 972 / 432
= 972
Step2:
LCM(108, 616) = 16632
GCD(108, 616) = ( 108 x 616 ) / 16632
= 108 / 616
= 108
Step3:
LCM(4, 537) = 2148
GCD(4, 537) = ( 4 x 537 ) / 2148
= 4 / 537
= 4
So, Greatest Common Divisor of 972, 432, 616, 537 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 432, 616, 537
The greatest common divisor of numbers 972, 432, 616, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 432, 616, 537 is 1.
1. What is the GCD of 972, 432, 616, 537?
GCD of given numbers 972, 432, 616, 537 is 1
2. How to calculate the greatest common divisor of 972, 432, 616, 537?
We can find the highest common divisor of 972, 432, 616, 537 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, 432, 616, 537 i.e 1.
3. How can I use the GCD of 972, 432, 616, 537Calculator?
Out the numbers 972, 432, 616, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.