Online GCD Calculator is useful to find the GCD of 963, 972, 628, 450 quickly. Get the easiest ways to solve the greatest common divisor of 963, 972, 628, 450 i.e 1 in different methods as follows.
Given Input numbers are 963, 972, 628, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
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
GCD of numbers is the greatest common divisor
So, the GCD (963, 972, 628, 450) = 1.
Given numbers are 963, 972, 628, 450
The list of prime factors of all numbers are
Prime factors of 963 are 3 x 3 x 107
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 628 are 2 x 2 x 157
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 963, 972, 628, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(963, 972) = 104004
GCD(963, 972) = ( 963 x 972 ) / 104004
= 963 / 972
= 963
Step2:
LCM(9, 628) = 5652
GCD(9, 628) = ( 9 x 628 ) / 5652
= 9 / 628
= 9
Step3:
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
= 1 / 450
= 1
So, Greatest Common Divisor of 963, 972, 628, 450 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 963, 972, 628, 450
The greatest common divisor of numbers 963, 972, 628, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 963, 972, 628, 450 is 1.
1. What is the GCD of 963, 972, 628, 450?
GCD of given numbers 963, 972, 628, 450 is 1
2. How to calculate the greatest common divisor of 963, 972, 628, 450?
We can find the highest common divisor of 963, 972, 628, 450 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 963, 972, 628, 450 i.e 1.
3. How can I use the GCD of 963, 972, 628, 450Calculator?
Out the numbers 963, 972, 628, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.