GCD of 924, 462, 360, 358 Calculator

Given Input numbers are 924, 462, 360, 358

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (924, 462, 360, 358) = 2.

Given numbers are 924, 462, 360, 358

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 462 are 2 x 3 x 7 x 11

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

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 924, 462, 360, 358 is 2.

Given numbers are 924, 462, 360, 358

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

Apply this formula for all numbers.

Step1:

LCM(924, 462) = 924

GCD(924, 462) = ( 924 x 462 ) / 924

= 924 / 462

= 924

Step2:

LCM(462, 360) = 27720

GCD(462, 360) = ( 462 x 360 ) / 27720

= 462 / 360

= 462

Step3:

LCM(6, 358) = 1074

GCD(6, 358) = ( 6 x 358 ) / 1074

= 6 / 358

= 6

So, Greatest Common Divisor of 924, 462, 360, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 523, 471, 914
• GCD of 999, 151, 504, 748
• GCD of 758, 329, 535, 988
• GCD of 885, 201, 242, 381
• GCD of 410, 823, 427, 410

Given numbers are 924, 462, 360, 358
The greatest common divisor of numbers 924, 462, 360, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 462, 360, 358 is 2.

1. What is the GCD of 924, 462, 360, 358?

GCD of given numbers 924, 462, 360, 358 is 2

2. How to calculate the greatest common divisor of 924, 462, 360, 358?

We can find the highest common divisor of 924, 462, 360, 358 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 924, 462, 360, 358 i.e 2.

3. How can I use the GCD of 924, 462, 360, 358Calculator?

Out the numbers 924, 462, 360, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.