Online GCD Calculator is useful to find the GCD of 852, 152, 530, 616 quickly. Get the easiest ways to solve the greatest common divisor of 852, 152, 530, 616 i.e 2 in different methods as follows.
Given Input numbers are 852, 152, 530, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
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 (852, 152, 530, 616) = 2.
Given numbers are 852, 152, 530, 616
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 530 are 2 x 5 x 53
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 852, 152, 530, 616 is 2.
Given numbers are 852, 152, 530, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 152) = 32376
GCD(852, 152) = ( 852 x 152 ) / 32376
= 852 / 152
= 852
Step2:
LCM(4, 530) = 1060
GCD(4, 530) = ( 4 x 530 ) / 1060
= 4 / 530
= 4
Step3:
LCM(2, 616) = 616
GCD(2, 616) = ( 2 x 616 ) / 616
= 2 / 616
= 2
So, Greatest Common Divisor of 852, 152, 530, 616 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 152, 530, 616
The greatest common divisor of numbers 852, 152, 530, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 152, 530, 616 is 2.
1. What is the GCD of 852, 152, 530, 616?
GCD of given numbers 852, 152, 530, 616 is 2
2. How to calculate the greatest common divisor of 852, 152, 530, 616?
We can find the highest common divisor of 852, 152, 530, 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 852, 152, 530, 616 i.e 2.
3. How can I use the GCD of 852, 152, 530, 616Calculator?
Out the numbers 852, 152, 530, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.