Online GCD Calculator is useful to find the GCD of 200, 134, 315, 358 quickly. Get the easiest ways to solve the greatest common divisor of 200, 134, 315, 358 i.e 1 in different methods as follows.
Given Input numbers are 200, 134, 315, 358
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 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (200, 134, 315, 358) = 1.
Given numbers are 200, 134, 315, 358
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 134 are 2 x 67
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 358 are 2 x 179
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 134, 315, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 134) = 13400
GCD(200, 134) = ( 200 x 134 ) / 13400
= 200 / 134
= 200
Step2:
LCM(2, 315) = 630
GCD(2, 315) = ( 2 x 315 ) / 630
= 2 / 315
= 2
Step3:
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
= 1 / 358
= 1
So, Greatest Common Divisor of 200, 134, 315, 358 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 134, 315, 358
The greatest common divisor of numbers 200, 134, 315, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 134, 315, 358 is 1.
1. What is the GCD of 200, 134, 315, 358?
GCD of given numbers 200, 134, 315, 358 is 1
2. How to calculate the greatest common divisor of 200, 134, 315, 358?
We can find the highest common divisor of 200, 134, 315, 358 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, 134, 315, 358 i.e 1.
3. How can I use the GCD of 200, 134, 315, 358Calculator?
Out the numbers 200, 134, 315, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.