Online GCD Calculator is useful to find the GCD of 528, 122, 600, 200 quickly. Get the easiest ways to solve the greatest common divisor of 528, 122, 600, 200 i.e 2 in different methods as follows.
Given Input numbers are 528, 122, 600, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (528, 122, 600, 200) = 2.
Given numbers are 528, 122, 600, 200
The list of prime factors of all numbers are
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 122 are 2 x 61
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 528, 122, 600, 200 is 2.
Given numbers are 528, 122, 600, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(528, 122) = 32208
GCD(528, 122) = ( 528 x 122 ) / 32208
= 528 / 122
= 528
Step2:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 528, 122, 600, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 528, 122, 600, 200
The greatest common divisor of numbers 528, 122, 600, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 122, 600, 200 is 2.
1. What is the GCD of 528, 122, 600, 200?
GCD of given numbers 528, 122, 600, 200 is 2
2. How to calculate the greatest common divisor of 528, 122, 600, 200?
We can find the highest common divisor of 528, 122, 600, 200 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 528, 122, 600, 200 i.e 2.
3. How can I use the GCD of 528, 122, 600, 200Calculator?
Out the numbers 528, 122, 600, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.