Online GCD Calculator is useful to find the GCD of 200, 547, 358, 821 quickly. Get the easiest ways to solve the greatest common divisor of 200, 547, 358, 821 i.e 1 in different methods as follows.
Given Input numbers are 200, 547, 358, 821
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 547 :
The positive integer divisors of 547 that completely divides 547 are.
1, 547
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
GCD of numbers is the greatest common divisor
So, the GCD (200, 547, 358, 821) = 1.
Given numbers are 200, 547, 358, 821
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 547 are 547
Prime factors of 358 are 2 x 179
Prime factors of 821 are 821
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 547, 358, 821
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 547) = 109400
GCD(200, 547) = ( 200 x 547 ) / 109400
= 200 / 547
= 200
Step2:
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
= 1 / 358
= 1
Step3:
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
= 1 / 821
= 1
So, Greatest Common Divisor of 200, 547, 358, 821 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 547, 358, 821
The greatest common divisor of numbers 200, 547, 358, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 547, 358, 821 is 1.
1. What is the GCD of 200, 547, 358, 821?
GCD of given numbers 200, 547, 358, 821 is 1
2. How to calculate the greatest common divisor of 200, 547, 358, 821?
We can find the highest common divisor of 200, 547, 358, 821 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, 547, 358, 821 i.e 1.
3. How can I use the GCD of 200, 547, 358, 821Calculator?
Out the numbers 200, 547, 358, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.