GCD of 258, 120, 452, 509 Calculator

Given Input numbers are 258, 120, 452, 509

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 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (258, 120, 452, 509) = 1.

Given numbers are 258, 120, 452, 509

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 452 are 2 x 2 x 113

Prime factors of 509 are 509

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 258, 120, 452, 509

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, 452) = 1356

GCD(6, 452) = ( 6 x 452 ) / 1356

= 6 / 452

= 6

Step3:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

So, Greatest Common Divisor of 258, 120, 452, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 450, 478, 705
• GCD of 349, 838, 464, 204
• GCD of 517, 248, 749, 684
• GCD of 278, 513, 902, 848
• GCD of 294, 594, 113, 922

Given numbers are 258, 120, 452, 509
The greatest common divisor of numbers 258, 120, 452, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 120, 452, 509 is 1.

1. What is the GCD of 258, 120, 452, 509?

GCD of given numbers 258, 120, 452, 509 is 1

2. How to calculate the greatest common divisor of 258, 120, 452, 509?

We can find the highest common divisor of 258, 120, 452, 509 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, 452, 509 i.e 1.

3. How can I use the GCD of 258, 120, 452, 509Calculator?

Out the numbers 258, 120, 452, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.