GCD of 258, 374, 120, 360 Calculator

Given Input numbers are 258, 374, 120, 360

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (258, 374, 120, 360) = 2.

Given numbers are 258, 374, 120, 360

The list of prime factors of all numbers are

Prime factors of 258 are 2 x 3 x 43

Prime factors of 374 are 2 x 11 x 17

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 258, 374, 120, 360 is 2.

Given numbers are 258, 374, 120, 360

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

Apply this formula for all numbers.

Step1:

LCM(258, 374) = 48246

GCD(258, 374) = ( 258 x 374 ) / 48246

= 258 / 374

= 258

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 258, 374, 120, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 385, 116, 716
• GCD of 296, 854, 186, 209
• GCD of 390, 932, 757, 817
• GCD of 894, 297, 417, 784
• GCD of 307, 386, 397, 373

Given numbers are 258, 374, 120, 360
The greatest common divisor of numbers 258, 374, 120, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 374, 120, 360 is 2.

1. What is the GCD of 258, 374, 120, 360?

GCD of given numbers 258, 374, 120, 360 is 2

2. How to calculate the greatest common divisor of 258, 374, 120, 360?

We can find the highest common divisor of 258, 374, 120, 360 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, 374, 120, 360 i.e 2.

3. How can I use the GCD of 258, 374, 120, 360Calculator?

Out the numbers 258, 374, 120, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.