GCD of 456, 704, 99, 392 Calculator

Given Input numbers are 456, 704, 99, 392

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 99 :

The positive integer divisors of 99 that completely divides 99 are.

1, 3, 9, 11, 33, 99

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (456, 704, 99, 392) = 1.

Given numbers are 456, 704, 99, 392

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 99 are 3 x 3 x 11

Prime factors of 392 are 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 456, 704, 99, 392

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

Apply this formula for all numbers.

Step1:

LCM(456, 704) = 40128

GCD(456, 704) = ( 456 x 704 ) / 40128

= 456 / 704

= 456

Step2:

LCM(8, 99) = 792

GCD(8, 99) = ( 8 x 99 ) / 792

= 8 / 99

= 8

Step3:

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

= 1 / 392

= 1

So, Greatest Common Divisor of 456, 704, 99, 392 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 407, 82, 470
• GCD of 363, 119, 31, 310
• GCD of 874, 752, 81, 970
• GCD of 590, 770, 96, 702
• GCD of 594, 131, 71, 373

Given numbers are 456, 704, 99, 392
The greatest common divisor of numbers 456, 704, 99, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 704, 99, 392 is 1.

1. What is the GCD of 456, 704, 99, 392?

GCD of given numbers 456, 704, 99, 392 is 1

2. How to calculate the greatest common divisor of 456, 704, 99, 392?

We can find the highest common divisor of 456, 704, 99, 392 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 456, 704, 99, 392 i.e 1.

3. How can I use the GCD of 456, 704, 99, 392Calculator?

Out the numbers 456, 704, 99, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.