Online GCD Calculator is useful to find the GCD of 462, 824, 628, 217 quickly. Get the easiest ways to solve the greatest common divisor of 462, 824, 628, 217 i.e 1 in different methods as follows.
Given Input numbers are 462, 824, 628, 217
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
GCD of numbers is the greatest common divisor
So, the GCD (462, 824, 628, 217) = 1.
Given numbers are 462, 824, 628, 217
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 628 are 2 x 2 x 157
Prime factors of 217 are 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 824, 628, 217
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 824) = 190344
GCD(462, 824) = ( 462 x 824 ) / 190344
= 462 / 824
= 462
Step2:
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
= 2 / 628
= 2
Step3:
LCM(2, 217) = 434
GCD(2, 217) = ( 2 x 217 ) / 434
= 2 / 217
= 2
So, Greatest Common Divisor of 462, 824, 628, 217 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 824, 628, 217
The greatest common divisor of numbers 462, 824, 628, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 824, 628, 217 is 1.
1. What is the GCD of 462, 824, 628, 217?
GCD of given numbers 462, 824, 628, 217 is 1
2. How to calculate the greatest common divisor of 462, 824, 628, 217?
We can find the highest common divisor of 462, 824, 628, 217 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 462, 824, 628, 217 i.e 1.
3. How can I use the GCD of 462, 824, 628, 217Calculator?
Out the numbers 462, 824, 628, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.