Online GCD Calculator is useful to find the GCD of 462, 270, 537, 682 quickly. Get the easiest ways to solve the greatest common divisor of 462, 270, 537, 682 i.e 1 in different methods as follows.
Given Input numbers are 462, 270, 537, 682
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 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (462, 270, 537, 682) = 1.
Given numbers are 462, 270, 537, 682
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 537 are 3 x 179
Prime factors of 682 are 2 x 11 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 270, 537, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 270) = 20790
GCD(462, 270) = ( 462 x 270 ) / 20790
= 462 / 270
= 462
Step2:
LCM(6, 537) = 1074
GCD(6, 537) = ( 6 x 537 ) / 1074
= 6 / 537
= 6
Step3:
LCM(3, 682) = 2046
GCD(3, 682) = ( 3 x 682 ) / 2046
= 3 / 682
= 3
So, Greatest Common Divisor of 462, 270, 537, 682 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 270, 537, 682
The greatest common divisor of numbers 462, 270, 537, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 270, 537, 682 is 1.
1. What is the GCD of 462, 270, 537, 682?
GCD of given numbers 462, 270, 537, 682 is 1
2. How to calculate the greatest common divisor of 462, 270, 537, 682?
We can find the highest common divisor of 462, 270, 537, 682 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, 270, 537, 682 i.e 1.
3. How can I use the GCD of 462, 270, 537, 682Calculator?
Out the numbers 462, 270, 537, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.