GCD of 924, 414, 721, 942 Calculator

Given Input numbers are 924, 414, 721, 942

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (924, 414, 721, 942) = 1.

Given numbers are 924, 414, 721, 942

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 414 are 2 x 3 x 3 x 23

Prime factors of 721 are 7 x 103

Prime factors of 942 are 2 x 3 x 157

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

Given numbers are 924, 414, 721, 942

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

Apply this formula for all numbers.

Step1:

LCM(924, 414) = 63756

GCD(924, 414) = ( 924 x 414 ) / 63756

= 924 / 414

= 924

Step2:

LCM(6, 721) = 4326

GCD(6, 721) = ( 6 x 721 ) / 4326

= 6 / 721

= 6

Step3:

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

= 1 / 942

= 1

So, Greatest Common Divisor of 924, 414, 721, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 259, 680, 795
• GCD of 449, 395, 221, 694
• GCD of 577, 638, 771, 622
• GCD of 607, 475, 590, 451
• GCD of 547, 536, 709, 806

Given numbers are 924, 414, 721, 942
The greatest common divisor of numbers 924, 414, 721, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 414, 721, 942 is 1.

1. What is the GCD of 924, 414, 721, 942?

GCD of given numbers 924, 414, 721, 942 is 1

2. How to calculate the greatest common divisor of 924, 414, 721, 942?

We can find the highest common divisor of 924, 414, 721, 942 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, 414, 721, 942 i.e 1.

3. How can I use the GCD of 924, 414, 721, 942Calculator?

Out the numbers 924, 414, 721, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.