Online GCD Calculator is useful to find the GCD of 252, 396, 60, 616 quickly. Get the easiest ways to solve the greatest common divisor of 252, 396, 60, 616 i.e 4 in different methods as follows.
Given Input numbers are 252, 396, 60, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
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 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
GCD of numbers is the greatest common divisor
So, the GCD (252, 396, 60, 616) = 4.
Given numbers are 252, 396, 60, 616
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 60 are 2 x 2 x 3 x 5
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The highest common occurrence is 22
Therefore, GCD of 252, 396, 60, 616 is 4.
Given numbers are 252, 396, 60, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 396) = 2772
GCD(252, 396) = ( 252 x 396 ) / 2772
= 252 / 396
= 252
Step2:
LCM(36, 60) = 180
GCD(36, 60) = ( 36 x 60 ) / 180
= 36 / 60
= 36
Step3:
LCM(12, 616) = 1848
GCD(12, 616) = ( 12 x 616 ) / 1848
= 12 / 616
= 12
So, Greatest Common Divisor of 252, 396, 60, 616 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 396, 60, 616
The greatest common divisor of numbers 252, 396, 60, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 396, 60, 616 is 4.
1. What is the GCD of 252, 396, 60, 616?
GCD of given numbers 252, 396, 60, 616 is 4
2. How to calculate the greatest common divisor of 252, 396, 60, 616?
We can find the highest common divisor of 252, 396, 60, 616 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 252, 396, 60, 616 i.e 4.
3. How can I use the GCD of 252, 396, 60, 616Calculator?
Out the numbers 252, 396, 60, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.