Online GCD Calculator is useful to find the GCD of 180, 552, 783, 852 quickly. Get the easiest ways to solve the greatest common divisor of 180, 552, 783, 852 i.e 3 in different methods as follows.
Given Input numbers are 180, 552, 783, 852
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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
Divisors of 783 :
The positive integer divisors of 783 that completely divides 783 are.
1, 3, 9, 27, 29, 87, 261, 783
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
GCD of numbers is the greatest common divisor
So, the GCD (180, 552, 783, 852) = 3.
Given numbers are 180, 552, 783, 852
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 783 are 3 x 3 x 3 x 29
Prime factors of 852 are 2 x 2 x 3 x 71
The highest common occurrence is 31
Therefore, GCD of 180, 552, 783, 852 is 3.
Given numbers are 180, 552, 783, 852
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 552) = 8280
GCD(180, 552) = ( 180 x 552 ) / 8280
= 180 / 552
= 180
Step2:
LCM(12, 783) = 3132
GCD(12, 783) = ( 12 x 783 ) / 3132
= 12 / 783
= 12
Step3:
LCM(3, 852) = 852
GCD(3, 852) = ( 3 x 852 ) / 852
= 3 / 852
= 3
So, Greatest Common Divisor of 180, 552, 783, 852 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 552, 783, 852
The greatest common divisor of numbers 180, 552, 783, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 552, 783, 852 is 3.
1. What is the GCD of 180, 552, 783, 852?
GCD of given numbers 180, 552, 783, 852 is 3
2. How to calculate the greatest common divisor of 180, 552, 783, 852?
We can find the highest common divisor of 180, 552, 783, 852 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 180, 552, 783, 852 i.e 3.
3. How can I use the GCD of 180, 552, 783, 852Calculator?
Out the numbers 180, 552, 783, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.