GCD of 784, 972, 385, 582 Calculator

Given Input numbers are 784, 972, 385, 582

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

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

GCD of numbers is the greatest common divisor

So, the GCD (784, 972, 385, 582) = 1.

Given numbers are 784, 972, 385, 582

The list of prime factors of all numbers are

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 385 are 5 x 7 x 11

Prime factors of 582 are 2 x 3 x 97

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

Given numbers are 784, 972, 385, 582

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

Apply this formula for all numbers.

Step1:

LCM(784, 972) = 190512

GCD(784, 972) = ( 784 x 972 ) / 190512

= 784 / 972

= 784

Step2:

LCM(4, 385) = 1540

GCD(4, 385) = ( 4 x 385 ) / 1540

= 4 / 385

= 4

Step3:

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

= 1 / 582

= 1

So, Greatest Common Divisor of 784, 972, 385, 582 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 633, 479, 257
• GCD of 747, 678, 365, 178
• GCD of 536, 115, 285, 757
• GCD of 850, 179, 121, 988
• GCD of 442, 849, 182, 448

Given numbers are 784, 972, 385, 582
The greatest common divisor of numbers 784, 972, 385, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 972, 385, 582 is 1.

1. What is the GCD of 784, 972, 385, 582?

GCD of given numbers 784, 972, 385, 582 is 1

2. How to calculate the greatest common divisor of 784, 972, 385, 582?

We can find the highest common divisor of 784, 972, 385, 582 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 784, 972, 385, 582 i.e 1.

3. How can I use the GCD of 784, 972, 385, 582Calculator?

Out the numbers 784, 972, 385, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.