Online GCD Calculator is useful to find the GCD of 462, 670, 582, 358 quickly. Get the easiest ways to solve the greatest common divisor of 462, 670, 582, 358 i.e 2 in different methods as follows.
Given Input numbers are 462, 670, 582, 358
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 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (462, 670, 582, 358) = 2.
Given numbers are 462, 670, 582, 358
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 670 are 2 x 5 x 67
Prime factors of 582 are 2 x 3 x 97
Prime factors of 358 are 2 x 179
The highest common occurrence is 21
Therefore, GCD of 462, 670, 582, 358 is 2.
Given numbers are 462, 670, 582, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 670) = 154770
GCD(462, 670) = ( 462 x 670 ) / 154770
= 462 / 670
= 462
Step2:
LCM(2, 582) = 582
GCD(2, 582) = ( 2 x 582 ) / 582
= 2 / 582
= 2
Step3:
LCM(2, 358) = 358
GCD(2, 358) = ( 2 x 358 ) / 358
= 2 / 358
= 2
So, Greatest Common Divisor of 462, 670, 582, 358 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 670, 582, 358
The greatest common divisor of numbers 462, 670, 582, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 670, 582, 358 is 2.
1. What is the GCD of 462, 670, 582, 358?
GCD of given numbers 462, 670, 582, 358 is 2
2. How to calculate the greatest common divisor of 462, 670, 582, 358?
We can find the highest common divisor of 462, 670, 582, 358 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, 670, 582, 358 i.e 2.
3. How can I use the GCD of 462, 670, 582, 358Calculator?
Out the numbers 462, 670, 582, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.