GCD of 924, 315, 200, 976 Calculator

Given Input numbers are 924, 315, 200, 976

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (924, 315, 200, 976) = 1.

Given numbers are 924, 315, 200, 976

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 315 are 3 x 3 x 5 x 7

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 924, 315, 200, 976

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

Apply this formula for all numbers.

Step1:

LCM(924, 315) = 13860

GCD(924, 315) = ( 924 x 315 ) / 13860

= 924 / 315

= 924

Step2:

LCM(21, 200) = 4200

GCD(21, 200) = ( 21 x 200 ) / 4200

= 21 / 200

= 21

Step3:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

So, Greatest Common Divisor of 924, 315, 200, 976 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 558, 433, 382
• GCD of 514, 631, 842, 175
• GCD of 219, 936, 775, 225
• GCD of 409, 384, 801, 327
• GCD of 627, 440, 898, 127

Given numbers are 924, 315, 200, 976
The greatest common divisor of numbers 924, 315, 200, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 315, 200, 976 is 1.

1. What is the GCD of 924, 315, 200, 976?

GCD of given numbers 924, 315, 200, 976 is 1

2. How to calculate the greatest common divisor of 924, 315, 200, 976?

We can find the highest common divisor of 924, 315, 200, 976 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, 315, 200, 976 i.e 1.

3. How can I use the GCD of 924, 315, 200, 976Calculator?

Out the numbers 924, 315, 200, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.