GCD of 120, 936, 298, 458 Calculator

Given Input numbers are 120, 936, 298, 458

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 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

GCD of numbers is the greatest common divisor

So, the GCD (120, 936, 298, 458) = 2.

Given numbers are 120, 936, 298, 458

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 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 298 are 2 x 149

Prime factors of 458 are 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 120, 936, 298, 458 is 2.

Given numbers are 120, 936, 298, 458

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

Apply this formula for all numbers.

Step1:

LCM(120, 936) = 4680

GCD(120, 936) = ( 120 x 936 ) / 4680

= 120 / 936

= 120

Step2:

LCM(24, 298) = 3576

GCD(24, 298) = ( 24 x 298 ) / 3576

= 24 / 298

= 24

Step3:

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

= 2 / 458

= 2

So, Greatest Common Divisor of 120, 936, 298, 458 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 190, 925, 933
• GCD of 820, 865, 681, 523
• GCD of 461, 218, 274, 251
• GCD of 387, 779, 405, 499
• GCD of 282, 187, 482, 690

Given numbers are 120, 936, 298, 458
The greatest common divisor of numbers 120, 936, 298, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 936, 298, 458 is 2.

1. What is the GCD of 120, 936, 298, 458?

GCD of given numbers 120, 936, 298, 458 is 2

2. How to calculate the greatest common divisor of 120, 936, 298, 458?

We can find the highest common divisor of 120, 936, 298, 458 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, 936, 298, 458 i.e 2.

3. How can I use the GCD of 120, 936, 298, 458Calculator?

Out the numbers 120, 936, 298, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.