Online GCD Calculator is useful to find the GCD of 624, 132, 522, 938 quickly. Get the easiest ways to solve the greatest common divisor of 624, 132, 522, 938 i.e 2 in different methods as follows.
Given Input numbers are 624, 132, 522, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
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 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (624, 132, 522, 938) = 2.
Given numbers are 624, 132, 522, 938
The list of prime factors of all numbers are
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 938 are 2 x 7 x 67
The highest common occurrence is 21
Therefore, GCD of 624, 132, 522, 938 is 2.
Given numbers are 624, 132, 522, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(624, 132) = 6864
GCD(624, 132) = ( 624 x 132 ) / 6864
= 624 / 132
= 624
Step2:
LCM(12, 522) = 1044
GCD(12, 522) = ( 12 x 522 ) / 1044
= 12 / 522
= 12
Step3:
LCM(6, 938) = 2814
GCD(6, 938) = ( 6 x 938 ) / 2814
= 6 / 938
= 6
So, Greatest Common Divisor of 624, 132, 522, 938 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 624, 132, 522, 938
The greatest common divisor of numbers 624, 132, 522, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 132, 522, 938 is 2.
1. What is the GCD of 624, 132, 522, 938?
GCD of given numbers 624, 132, 522, 938 is 2
2. How to calculate the greatest common divisor of 624, 132, 522, 938?
We can find the highest common divisor of 624, 132, 522, 938 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 624, 132, 522, 938 i.e 2.
3. How can I use the GCD of 624, 132, 522, 938Calculator?
Out the numbers 624, 132, 522, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.