Online GCD Calculator is useful to find the GCD of 756, 624, 412, 538 quickly. Get the easiest ways to solve the greatest common divisor of 756, 624, 412, 538 i.e 2 in different methods as follows.
Given Input numbers are 756, 624, 412, 538
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
GCD of numbers is the greatest common divisor
So, the GCD (756, 624, 412, 538) = 2.
Given numbers are 756, 624, 412, 538
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 412 are 2 x 2 x 103
Prime factors of 538 are 2 x 269
The highest common occurrence is 21
Therefore, GCD of 756, 624, 412, 538 is 2.
Given numbers are 756, 624, 412, 538
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 624) = 39312
GCD(756, 624) = ( 756 x 624 ) / 39312
= 756 / 624
= 756
Step2:
LCM(12, 412) = 1236
GCD(12, 412) = ( 12 x 412 ) / 1236
= 12 / 412
= 12
Step3:
LCM(4, 538) = 1076
GCD(4, 538) = ( 4 x 538 ) / 1076
= 4 / 538
= 4
So, Greatest Common Divisor of 756, 624, 412, 538 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 624, 412, 538
The greatest common divisor of numbers 756, 624, 412, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 624, 412, 538 is 2.
1. What is the GCD of 756, 624, 412, 538?
GCD of given numbers 756, 624, 412, 538 is 2
2. How to calculate the greatest common divisor of 756, 624, 412, 538?
We can find the highest common divisor of 756, 624, 412, 538 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 756, 624, 412, 538 i.e 2.
3. How can I use the GCD of 756, 624, 412, 538Calculator?
Out the numbers 756, 624, 412, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.