Online GCD Calculator is useful to find the GCD of 450, 734, 772, 900 quickly. Get the easiest ways to solve the greatest common divisor of 450, 734, 772, 900 i.e 2 in different methods as follows.
Given Input numbers are 450, 734, 772, 900
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 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (450, 734, 772, 900) = 2.
Given numbers are 450, 734, 772, 900
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 734 are 2 x 367
Prime factors of 772 are 2 x 2 x 193
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 450, 734, 772, 900 is 2.
Given numbers are 450, 734, 772, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 734) = 165150
GCD(450, 734) = ( 450 x 734 ) / 165150
= 450 / 734
= 450
Step2:
LCM(2, 772) = 772
GCD(2, 772) = ( 2 x 772 ) / 772
= 2 / 772
= 2
Step3:
LCM(2, 900) = 900
GCD(2, 900) = ( 2 x 900 ) / 900
= 2 / 900
= 2
So, Greatest Common Divisor of 450, 734, 772, 900 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 734, 772, 900
The greatest common divisor of numbers 450, 734, 772, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 734, 772, 900 is 2.
1. What is the GCD of 450, 734, 772, 900?
GCD of given numbers 450, 734, 772, 900 is 2
2. How to calculate the greatest common divisor of 450, 734, 772, 900?
We can find the highest common divisor of 450, 734, 772, 900 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, 734, 772, 900 i.e 2.
3. How can I use the GCD of 450, 734, 772, 900Calculator?
Out the numbers 450, 734, 772, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.