GCD of 120, 284, 958, 452 Calculator

Given Input numbers are 120, 284, 958, 452

In the factoring method, we have to find the divisors of all numbers

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 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 452 :

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

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (120, 284, 958, 452) = 2.

Given numbers are 120, 284, 958, 452

The list of prime factors of all numbers are

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

Prime factors of 284 are 2 x 2 x 71

Prime factors of 958 are 2 x 479

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 120, 284, 958, 452 is 2.

Given numbers are 120, 284, 958, 452

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

Apply this formula for all numbers.

Step1:

LCM(120, 284) = 8520

GCD(120, 284) = ( 120 x 284 ) / 8520

= 120 / 284

= 120

Step2:

LCM(4, 958) = 1916

GCD(4, 958) = ( 4 x 958 ) / 1916

= 4 / 958

= 4

Step3:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

So, Greatest Common Divisor of 120, 284, 958, 452 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 989, 687, 164
• GCD of 457, 887, 695, 663
• GCD of 844, 341, 298, 115
• GCD of 732, 246, 609, 481
• GCD of 365, 866, 243, 747

Given numbers are 120, 284, 958, 452
The greatest common divisor of numbers 120, 284, 958, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 284, 958, 452 is 2.

1. What is the GCD of 120, 284, 958, 452?

GCD of given numbers 120, 284, 958, 452 is 2

2. How to calculate the greatest common divisor of 120, 284, 958, 452?

We can find the highest common divisor of 120, 284, 958, 452 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 120, 284, 958, 452 i.e 2.

3. How can I use the GCD of 120, 284, 958, 452Calculator?

Out the numbers 120, 284, 958, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.