Online GCD Calculator is useful to find the GCD of 512, 200, 977, 646 quickly. Get the easiest ways to solve the greatest common divisor of 512, 200, 977, 646 i.e 1 in different methods as follows.
Given Input numbers are 512, 200, 977, 646
In the factoring method, we have to find the divisors of all numbers
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
GCD of numbers is the greatest common divisor
So, the GCD (512, 200, 977, 646) = 1.
Given numbers are 512, 200, 977, 646
The list of prime factors of all numbers are
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 977 are 977
Prime factors of 646 are 2 x 17 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 512, 200, 977, 646
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(512, 200) = 12800
GCD(512, 200) = ( 512 x 200 ) / 12800
= 512 / 200
= 512
Step2:
LCM(8, 977) = 7816
GCD(8, 977) = ( 8 x 977 ) / 7816
= 8 / 977
= 8
Step3:
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
= 1 / 646
= 1
So, Greatest Common Divisor of 512, 200, 977, 646 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 512, 200, 977, 646
The greatest common divisor of numbers 512, 200, 977, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 200, 977, 646 is 1.
1. What is the GCD of 512, 200, 977, 646?
GCD of given numbers 512, 200, 977, 646 is 1
2. How to calculate the greatest common divisor of 512, 200, 977, 646?
We can find the highest common divisor of 512, 200, 977, 646 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 512, 200, 977, 646 i.e 1.
3. How can I use the GCD of 512, 200, 977, 646Calculator?
Out the numbers 512, 200, 977, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.