GCD of 924, 308, 400, 272 Calculator

Given Input numbers are 924, 308, 400, 272

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (924, 308, 400, 272) = 4.

Given numbers are 924, 308, 400, 272

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 308 are 2 x 2 x 7 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2²

Therefore, GCD of 924, 308, 400, 272 is 4.

Given numbers are 924, 308, 400, 272

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

Apply this formula for all numbers.

Step1:

LCM(924, 308) = 924

GCD(924, 308) = ( 924 x 308 ) / 924

= 924 / 308

= 924

Step2:

LCM(308, 400) = 30800

GCD(308, 400) = ( 308 x 400 ) / 30800

= 308 / 400

= 308

Step3:

LCM(4, 272) = 272

GCD(4, 272) = ( 4 x 272 ) / 272

= 4 / 272

= 4

So, Greatest Common Divisor of 924, 308, 400, 272 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 867, 118, 531
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Given numbers are 924, 308, 400, 272
The greatest common divisor of numbers 924, 308, 400, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 308, 400, 272 is 4.

1. What is the GCD of 924, 308, 400, 272?

GCD of given numbers 924, 308, 400, 272 is 4

2. How to calculate the greatest common divisor of 924, 308, 400, 272?

We can find the highest common divisor of 924, 308, 400, 272 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, 308, 400, 272 i.e 4.

3. How can I use the GCD of 924, 308, 400, 272Calculator?

Out the numbers 924, 308, 400, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.