Online GCD Calculator is useful to find the GCD of 200, 317, 738, 672 quickly. Get the easiest ways to solve the greatest common divisor of 200, 317, 738, 672 i.e 1 in different methods as follows.
Given Input numbers are 200, 317, 738, 672
In the factoring method, we have to find the divisors of all numbers
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 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (200, 317, 738, 672) = 1.
Given numbers are 200, 317, 738, 672
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 317 are 317
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 317, 738, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 317) = 63400
GCD(200, 317) = ( 200 x 317 ) / 63400
= 200 / 317
= 200
Step2:
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
= 1 / 738
= 1
Step3:
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
= 1 / 672
= 1
So, Greatest Common Divisor of 200, 317, 738, 672 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 317, 738, 672
The greatest common divisor of numbers 200, 317, 738, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 317, 738, 672 is 1.
1. What is the GCD of 200, 317, 738, 672?
GCD of given numbers 200, 317, 738, 672 is 1
2. How to calculate the greatest common divisor of 200, 317, 738, 672?
We can find the highest common divisor of 200, 317, 738, 672 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 200, 317, 738, 672 i.e 1.
3. How can I use the GCD of 200, 317, 738, 672Calculator?
Out the numbers 200, 317, 738, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.