Online GCD Calculator is useful to find the GCD of 450, 786, 210, 552 quickly. Get the easiest ways to solve the greatest common divisor of 450, 786, 210, 552 i.e 6 in different methods as follows.
Given Input numbers are 450, 786, 210, 552
In the factoring method, we have to find the divisors of all numbers
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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
GCD of numbers is the greatest common divisor
So, the GCD (450, 786, 210, 552) = 6.
Given numbers are 450, 786, 210, 552
The list of prime factors of all numbers are
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 786 are 2 x 3 x 131
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
The highest common occurrence is 21 x 31
Therefore, GCD of 450, 786, 210, 552 is 6.
Given numbers are 450, 786, 210, 552
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 786) = 58950
GCD(450, 786) = ( 450 x 786 ) / 58950
= 450 / 786
= 450
Step2:
LCM(6, 210) = 210
GCD(6, 210) = ( 6 x 210 ) / 210
= 6 / 210
= 6
Step3:
LCM(6, 552) = 552
GCD(6, 552) = ( 6 x 552 ) / 552
= 6 / 552
= 6
So, Greatest Common Divisor of 450, 786, 210, 552 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 786, 210, 552
The greatest common divisor of numbers 450, 786, 210, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 786, 210, 552 is 6.
1. What is the GCD of 450, 786, 210, 552?
GCD of given numbers 450, 786, 210, 552 is 6
2. How to calculate the greatest common divisor of 450, 786, 210, 552?
We can find the highest common divisor of 450, 786, 210, 552 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 450, 786, 210, 552 i.e 6.
3. How can I use the GCD of 450, 786, 210, 552Calculator?
Out the numbers 450, 786, 210, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.