Online GCD Calculator is useful to find the GCD of 945, 664, 414, 462 quickly. Get the easiest ways to solve the greatest common divisor of 945, 664, 414, 462 i.e 1 in different methods as follows.
Given Input numbers are 945, 664, 414, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (945, 664, 414, 462) = 1.
Given numbers are 945, 664, 414, 462
The list of prime factors of all numbers are
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 462 are 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 945, 664, 414, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(945, 664) = 627480
GCD(945, 664) = ( 945 x 664 ) / 627480
= 945 / 664
= 945
Step2:
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
= 1 / 414
= 1
Step3:
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
= 1 / 462
= 1
So, Greatest Common Divisor of 945, 664, 414, 462 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 945, 664, 414, 462
The greatest common divisor of numbers 945, 664, 414, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 664, 414, 462 is 1.
1. What is the GCD of 945, 664, 414, 462?
GCD of given numbers 945, 664, 414, 462 is 1
2. How to calculate the greatest common divisor of 945, 664, 414, 462?
We can find the highest common divisor of 945, 664, 414, 462 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 945, 664, 414, 462 i.e 1.
3. How can I use the GCD of 945, 664, 414, 462Calculator?
Out the numbers 945, 664, 414, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.