GCD of 258, 120, 258 Calculator

Given Input numbers are 258, 120, 258

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 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

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

GCD of numbers is the greatest common divisor

So, the GCD (258, 120, 258) = 6.

Given numbers are 258, 120, 258

The list of prime factors of all numbers are

Prime factors of 258 are 2 x 3 x 43

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 258 are 2 x 3 x 43

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 258, 120, 258 is 6.

Given numbers are 258, 120, 258

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(258, 120) = 5160

GCD(258, 120) = ( 258 x 120 ) / 5160

= 258 / 120

= 258

Step2:

LCM(6, 258) = 258

GCD(6, 258) = ( 6 x 258 ) / 258

= 6 / 258

= 6

So, Greatest Common Divisor of 258, 120, 258 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 272, 437
• GCD of 589, 846, 115
• GCD of 307, 966, 205
• GCD of 296, 373, 913
• GCD of 658, 493, 696

Given numbers are 258, 120, 258
The greatest common divisor of numbers 258, 120, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 120, 258 is 6.

1. What is the GCD of 258, 120, 258?

GCD of given numbers 258, 120, 258 is 6

2. How to calculate the greatest common divisor of 258, 120, 258?

We can find the highest common divisor of 258, 120, 258 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, 120, 258 i.e 6.

3. How can I use the GCD of 258, 120, 258Calculator?

Out the numbers 258, 120, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.