GCD of 924, 305, 217, 464 Calculator

Given Input numbers are 924, 305, 217, 464

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 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (924, 305, 217, 464) = 1.

Given numbers are 924, 305, 217, 464

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 305 are 5 x 61

Prime factors of 217 are 7 x 31

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

Given numbers are 924, 305, 217, 464

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

Apply this formula for all numbers.

Step1:

LCM(924, 305) = 281820

GCD(924, 305) = ( 924 x 305 ) / 281820

= 924 / 305

= 924

Step2:

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

= 1 / 217

= 1

Step3:

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

= 1 / 464

= 1

So, Greatest Common Divisor of 924, 305, 217, 464 is 1

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Given numbers are 924, 305, 217, 464
The greatest common divisor of numbers 924, 305, 217, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 305, 217, 464 is 1.

1. What is the GCD of 924, 305, 217, 464?

GCD of given numbers 924, 305, 217, 464 is 1

2. How to calculate the greatest common divisor of 924, 305, 217, 464?

We can find the highest common divisor of 924, 305, 217, 464 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, 305, 217, 464 i.e 1.

3. How can I use the GCD of 924, 305, 217, 464Calculator?

Out the numbers 924, 305, 217, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.