Online GCD Calculator is useful to find the GCD of 522, 764, 972, 432 quickly. Get the easiest ways to solve the greatest common divisor of 522, 764, 972, 432 i.e 2 in different methods as follows.
Given Input numbers are 522, 764, 972, 432
In the factoring method, we have to find the divisors of all numbers
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
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
GCD of numbers is the greatest common divisor
So, the GCD (522, 764, 972, 432) = 2.
Given numbers are 522, 764, 972, 432
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 764 are 2 x 2 x 191
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
The highest common occurrence is 21
Therefore, GCD of 522, 764, 972, 432 is 2.
Given numbers are 522, 764, 972, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 764) = 199404
GCD(522, 764) = ( 522 x 764 ) / 199404
= 522 / 764
= 522
Step2:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
Step3:
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
= 2 / 432
= 2
So, Greatest Common Divisor of 522, 764, 972, 432 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 764, 972, 432
The greatest common divisor of numbers 522, 764, 972, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 764, 972, 432 is 2.
1. What is the GCD of 522, 764, 972, 432?
GCD of given numbers 522, 764, 972, 432 is 2
2. How to calculate the greatest common divisor of 522, 764, 972, 432?
We can find the highest common divisor of 522, 764, 972, 432 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 522, 764, 972, 432 i.e 2.
3. How can I use the GCD of 522, 764, 972, 432Calculator?
Out the numbers 522, 764, 972, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.