Online GCD Calculator is useful to find the GCD of 258, 965, 213, 120 quickly. Get the easiest ways to solve the greatest common divisor of 258, 965, 213, 120 i.e 1 in different methods as follows.
Given Input numbers are 258, 965, 213, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (258, 965, 213, 120) = 1.
Given numbers are 258, 965, 213, 120
The list of prime factors of all numbers are
Prime factors of 258 are 2 x 3 x 43
Prime factors of 965 are 5 x 193
Prime factors of 213 are 3 x 71
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 258, 965, 213, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(258, 965) = 248970
GCD(258, 965) = ( 258 x 965 ) / 248970
= 258 / 965
= 258
Step2:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 258, 965, 213, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 258, 965, 213, 120
The greatest common divisor of numbers 258, 965, 213, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 965, 213, 120 is 1.
1. What is the GCD of 258, 965, 213, 120?
GCD of given numbers 258, 965, 213, 120 is 1
2. How to calculate the greatest common divisor of 258, 965, 213, 120?
We can find the highest common divisor of 258, 965, 213, 120 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 258, 965, 213, 120 i.e 1.
3. How can I use the GCD of 258, 965, 213, 120Calculator?
Out the numbers 258, 965, 213, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.