Online GCD Calculator is useful to find the GCD of 397, 420, 708, 512 quickly. Get the easiest ways to solve the greatest common divisor of 397, 420, 708, 512 i.e 1 in different methods as follows.
Given Input numbers are 397, 420, 708, 512
In the factoring method, we have to find the divisors of all numbers
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
GCD of numbers is the greatest common divisor
So, the GCD (397, 420, 708, 512) = 1.
Given numbers are 397, 420, 708, 512
The list of prime factors of all numbers are
Prime factors of 397 are 397
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 397, 420, 708, 512
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(397, 420) = 166740
GCD(397, 420) = ( 397 x 420 ) / 166740
= 397 / 420
= 397
Step2:
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
= 1 / 708
= 1
Step3:
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
= 1 / 512
= 1
So, Greatest Common Divisor of 397, 420, 708, 512 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 397, 420, 708, 512
The greatest common divisor of numbers 397, 420, 708, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 420, 708, 512 is 1.
1. What is the GCD of 397, 420, 708, 512?
GCD of given numbers 397, 420, 708, 512 is 1
2. How to calculate the greatest common divisor of 397, 420, 708, 512?
We can find the highest common divisor of 397, 420, 708, 512 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 397, 420, 708, 512 i.e 1.
3. How can I use the GCD of 397, 420, 708, 512Calculator?
Out the numbers 397, 420, 708, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.