Online GCD Calculator is useful to find the GCD of 147, 537, 522, 822 quickly. Get the easiest ways to solve the greatest common divisor of 147, 537, 522, 822 i.e 3 in different methods as follows.
Given Input numbers are 147, 537, 522, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
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 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (147, 537, 522, 822) = 3.
Given numbers are 147, 537, 522, 822
The list of prime factors of all numbers are
Prime factors of 147 are 3 x 7 x 7
Prime factors of 537 are 3 x 179
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 31
Therefore, GCD of 147, 537, 522, 822 is 3.
Given numbers are 147, 537, 522, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(147, 537) = 26313
GCD(147, 537) = ( 147 x 537 ) / 26313
= 147 / 537
= 147
Step2:
LCM(3, 522) = 522
GCD(3, 522) = ( 3 x 522 ) / 522
= 3 / 522
= 3
Step3:
LCM(3, 822) = 822
GCD(3, 822) = ( 3 x 822 ) / 822
= 3 / 822
= 3
So, Greatest Common Divisor of 147, 537, 522, 822 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 147, 537, 522, 822
The greatest common divisor of numbers 147, 537, 522, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 537, 522, 822 is 3.
1. What is the GCD of 147, 537, 522, 822?
GCD of given numbers 147, 537, 522, 822 is 3
2. How to calculate the greatest common divisor of 147, 537, 522, 822?
We can find the highest common divisor of 147, 537, 522, 822 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 147, 537, 522, 822 i.e 3.
3. How can I use the GCD of 147, 537, 522, 822Calculator?
Out the numbers 147, 537, 522, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.