Online GCD Calculator is useful to find the GCD of 116, 972, 258, 201 quickly. Get the easiest ways to solve the greatest common divisor of 116, 972, 258, 201 i.e 1 in different methods as follows.
Given Input numbers are 116, 972, 258, 201
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
GCD of numbers is the greatest common divisor
So, the GCD (116, 972, 258, 201) = 1.
Given numbers are 116, 972, 258, 201
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 258 are 2 x 3 x 43
Prime factors of 201 are 3 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 116, 972, 258, 201
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 972) = 28188
GCD(116, 972) = ( 116 x 972 ) / 28188
= 116 / 972
= 116
Step2:
LCM(4, 258) = 516
GCD(4, 258) = ( 4 x 258 ) / 516
= 4 / 258
= 4
Step3:
LCM(2, 201) = 402
GCD(2, 201) = ( 2 x 201 ) / 402
= 2 / 201
= 2
So, Greatest Common Divisor of 116, 972, 258, 201 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 972, 258, 201
The greatest common divisor of numbers 116, 972, 258, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 972, 258, 201 is 1.
1. What is the GCD of 116, 972, 258, 201?
GCD of given numbers 116, 972, 258, 201 is 1
2. How to calculate the greatest common divisor of 116, 972, 258, 201?
We can find the highest common divisor of 116, 972, 258, 201 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 116, 972, 258, 201 i.e 1.
3. How can I use the GCD of 116, 972, 258, 201Calculator?
Out the numbers 116, 972, 258, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.