Online GCD Calculator is useful to find the GCD of 756, 606, 636, 552 quickly. Get the easiest ways to solve the greatest common divisor of 756, 606, 636, 552 i.e 6 in different methods as follows.
Given Input numbers are 756, 606, 636, 552
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 606 :
The positive integer divisors of 606 that completely divides 606 are.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
GCD of numbers is the greatest common divisor
So, the GCD (756, 606, 636, 552) = 6.
Given numbers are 756, 606, 636, 552
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 606 are 2 x 3 x 101
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
The highest common occurrence is 21 x 31
Therefore, GCD of 756, 606, 636, 552 is 6.
Given numbers are 756, 606, 636, 552
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 606) = 76356
GCD(756, 606) = ( 756 x 606 ) / 76356
= 756 / 606
= 756
Step2:
LCM(6, 636) = 636
GCD(6, 636) = ( 6 x 636 ) / 636
= 6 / 636
= 6
Step3:
LCM(6, 552) = 552
GCD(6, 552) = ( 6 x 552 ) / 552
= 6 / 552
= 6
So, Greatest Common Divisor of 756, 606, 636, 552 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 606, 636, 552
The greatest common divisor of numbers 756, 606, 636, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 606, 636, 552 is 6.
1. What is the GCD of 756, 606, 636, 552?
GCD of given numbers 756, 606, 636, 552 is 6
2. How to calculate the greatest common divisor of 756, 606, 636, 552?
We can find the highest common divisor of 756, 606, 636, 552 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, 606, 636, 552 i.e 6.
3. How can I use the GCD of 756, 606, 636, 552Calculator?
Out the numbers 756, 606, 636, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.