Online GCD Calculator is useful to find the GCD of 598, 396, 704, 636 quickly. Get the easiest ways to solve the greatest common divisor of 598, 396, 704, 636 i.e 2 in different methods as follows.
Given Input numbers are 598, 396, 704, 636
In the factoring method, we have to find the divisors of all numbers
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
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
GCD of numbers is the greatest common divisor
So, the GCD (598, 396, 704, 636) = 2.
Given numbers are 598, 396, 704, 636
The list of prime factors of all numbers are
Prime factors of 598 are 2 x 13 x 23
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 636 are 2 x 2 x 3 x 53
The highest common occurrence is 21
Therefore, GCD of 598, 396, 704, 636 is 2.
Given numbers are 598, 396, 704, 636
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(598, 396) = 118404
GCD(598, 396) = ( 598 x 396 ) / 118404
= 598 / 396
= 598
Step2:
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
= 2 / 704
= 2
Step3:
LCM(2, 636) = 636
GCD(2, 636) = ( 2 x 636 ) / 636
= 2 / 636
= 2
So, Greatest Common Divisor of 598, 396, 704, 636 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 598, 396, 704, 636
The greatest common divisor of numbers 598, 396, 704, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 396, 704, 636 is 2.
1. What is the GCD of 598, 396, 704, 636?
GCD of given numbers 598, 396, 704, 636 is 2
2. How to calculate the greatest common divisor of 598, 396, 704, 636?
We can find the highest common divisor of 598, 396, 704, 636 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 598, 396, 704, 636 i.e 2.
3. How can I use the GCD of 598, 396, 704, 636Calculator?
Out the numbers 598, 396, 704, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.