GCD of 921, 729, 422, 784 Calculator

Given Input numbers are 921, 729, 422, 784

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

GCD of numbers is the greatest common divisor

So, the GCD (921, 729, 422, 784) = 1.

Given numbers are 921, 729, 422, 784

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 422 are 2 x 211

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Given numbers are 921, 729, 422, 784

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

Apply this formula for all numbers.

Step1:

LCM(921, 729) = 223803

GCD(921, 729) = ( 921 x 729 ) / 223803

= 921 / 729

= 921

Step2:

LCM(3, 422) = 1266

GCD(3, 422) = ( 3 x 422 ) / 1266

= 3 / 422

= 3

Step3:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

So, Greatest Common Divisor of 921, 729, 422, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 278, 359, 586
• GCD of 762, 894, 480, 907
• GCD of 617, 631, 154, 563
• GCD of 316, 284, 577, 130
• GCD of 214, 352, 869, 252

Given numbers are 921, 729, 422, 784
The greatest common divisor of numbers 921, 729, 422, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 729, 422, 784 is 1.

1. What is the GCD of 921, 729, 422, 784?

GCD of given numbers 921, 729, 422, 784 is 1

2. How to calculate the greatest common divisor of 921, 729, 422, 784?

We can find the highest common divisor of 921, 729, 422, 784 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 921, 729, 422, 784 i.e 1.

3. How can I use the GCD of 921, 729, 422, 784Calculator?

Out the numbers 921, 729, 422, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.