Online GCD Calculator is useful to find the GCD of 708, 207, 450, 774 quickly. Get the easiest ways to solve the greatest common divisor of 708, 207, 450, 774 i.e 3 in different methods as follows.
Given Input numbers are 708, 207, 450, 774
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
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 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
GCD of numbers is the greatest common divisor
So, the GCD (708, 207, 450, 774) = 3.
Given numbers are 708, 207, 450, 774
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 207 are 3 x 3 x 23
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 774 are 2 x 3 x 3 x 43
The highest common occurrence is 31
Therefore, GCD of 708, 207, 450, 774 is 3.
Given numbers are 708, 207, 450, 774
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 207) = 48852
GCD(708, 207) = ( 708 x 207 ) / 48852
= 708 / 207
= 708
Step2:
LCM(3, 450) = 450
GCD(3, 450) = ( 3 x 450 ) / 450
= 3 / 450
= 3
Step3:
LCM(3, 774) = 774
GCD(3, 774) = ( 3 x 774 ) / 774
= 3 / 774
= 3
So, Greatest Common Divisor of 708, 207, 450, 774 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 207, 450, 774
The greatest common divisor of numbers 708, 207, 450, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 207, 450, 774 is 3.
1. What is the GCD of 708, 207, 450, 774?
GCD of given numbers 708, 207, 450, 774 is 3
2. How to calculate the greatest common divisor of 708, 207, 450, 774?
We can find the highest common divisor of 708, 207, 450, 774 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 708, 207, 450, 774 i.e 3.
3. How can I use the GCD of 708, 207, 450, 774Calculator?
Out the numbers 708, 207, 450, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.