Online GCD Calculator is useful to find the GCD of 201, 784, 655, 343 quickly. Get the easiest ways to solve the greatest common divisor of 201, 784, 655, 343 i.e 1 in different methods as follows.
Given Input numbers are 201, 784, 655, 343
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 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (201, 784, 655, 343) = 1.
Given numbers are 201, 784, 655, 343
The list of prime factors of all numbers are
Prime factors of 201 are 3 x 67
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 655 are 5 x 131
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 201, 784, 655, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(201, 784) = 157584
GCD(201, 784) = ( 201 x 784 ) / 157584
= 201 / 784
= 201
Step2:
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
= 1 / 655
= 1
Step3:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
So, Greatest Common Divisor of 201, 784, 655, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 201, 784, 655, 343
The greatest common divisor of numbers 201, 784, 655, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 784, 655, 343 is 1.
1. What is the GCD of 201, 784, 655, 343?
GCD of given numbers 201, 784, 655, 343 is 1
2. How to calculate the greatest common divisor of 201, 784, 655, 343?
We can find the highest common divisor of 201, 784, 655, 343 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, 784, 655, 343 i.e 1.
3. How can I use the GCD of 201, 784, 655, 343Calculator?
Out the numbers 201, 784, 655, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.