Online GCD Calculator is useful to find the GCD of 200, 978, 320, 135 quickly. Get the easiest ways to solve the greatest common divisor of 200, 978, 320, 135 i.e 1 in different methods as follows.
Given Input numbers are 200, 978, 320, 135
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 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (200, 978, 320, 135) = 1.
Given numbers are 200, 978, 320, 135
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 978 are 2 x 3 x 163
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 978, 320, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 978) = 97800
GCD(200, 978) = ( 200 x 978 ) / 97800
= 200 / 978
= 200
Step2:
LCM(2, 320) = 320
GCD(2, 320) = ( 2 x 320 ) / 320
= 2 / 320
= 2
Step3:
LCM(2, 135) = 270
GCD(2, 135) = ( 2 x 135 ) / 270
= 2 / 135
= 2
So, Greatest Common Divisor of 200, 978, 320, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 978, 320, 135
The greatest common divisor of numbers 200, 978, 320, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 978, 320, 135 is 1.
1. What is the GCD of 200, 978, 320, 135?
GCD of given numbers 200, 978, 320, 135 is 1
2. How to calculate the greatest common divisor of 200, 978, 320, 135?
We can find the highest common divisor of 200, 978, 320, 135 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, 978, 320, 135 i.e 1.
3. How can I use the GCD of 200, 978, 320, 135Calculator?
Out the numbers 200, 978, 320, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.