Online GCD Calculator is useful to find the GCD of 201, 800, 735, 207 quickly. Get the easiest ways to solve the greatest common divisor of 201, 800, 735, 207 i.e 1 in different methods as follows.
Given Input numbers are 201, 800, 735, 207
In the factoring method, we have to find the divisors of all numbers
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
GCD of numbers is the greatest common divisor
So, the GCD (201, 800, 735, 207) = 1.
Given numbers are 201, 800, 735, 207
The list of prime factors of all numbers are
Prime factors of 201 are 3 x 67
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 207 are 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 201, 800, 735, 207
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(201, 800) = 160800
GCD(201, 800) = ( 201 x 800 ) / 160800
= 201 / 800
= 201
Step2:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
Step3:
LCM(1, 207) = 207
GCD(1, 207) = ( 1 x 207 ) / 207
= 1 / 207
= 1
So, Greatest Common Divisor of 201, 800, 735, 207 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 201, 800, 735, 207
The greatest common divisor of numbers 201, 800, 735, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 800, 735, 207 is 1.
1. What is the GCD of 201, 800, 735, 207?
GCD of given numbers 201, 800, 735, 207 is 1
2. How to calculate the greatest common divisor of 201, 800, 735, 207?
We can find the highest common divisor of 201, 800, 735, 207 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 201, 800, 735, 207 i.e 1.
3. How can I use the GCD of 201, 800, 735, 207Calculator?
Out the numbers 201, 800, 735, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.