GCD of 384, 704, 456, 653 Calculator

Given Input numbers are 384, 704, 456, 653

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 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 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

GCD of numbers is the greatest common divisor

So, the GCD (384, 704, 456, 653) = 1.

Given numbers are 384, 704, 456, 653

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

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

Prime factors of 653 are 653

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

Given numbers are 384, 704, 456, 653

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

Apply this formula for all numbers.

Step1:

LCM(384, 704) = 4224

GCD(384, 704) = ( 384 x 704 ) / 4224

= 384 / 704

= 384

Step2:

LCM(64, 456) = 3648

GCD(64, 456) = ( 64 x 456 ) / 3648

= 64 / 456

= 64

Step3:

LCM(8, 653) = 5224

GCD(8, 653) = ( 8 x 653 ) / 5224

= 8 / 653

= 8

So, Greatest Common Divisor of 384, 704, 456, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 501, 290, 706
• GCD of 292, 696, 236, 478
• GCD of 309, 770, 225, 781
• GCD of 629, 872, 271, 797
• GCD of 719, 142, 496, 428

Given numbers are 384, 704, 456, 653
The greatest common divisor of numbers 384, 704, 456, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 704, 456, 653 is 1.

1. What is the GCD of 384, 704, 456, 653?

GCD of given numbers 384, 704, 456, 653 is 1

2. How to calculate the greatest common divisor of 384, 704, 456, 653?

We can find the highest common divisor of 384, 704, 456, 653 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 384, 704, 456, 653 i.e 1.

3. How can I use the GCD of 384, 704, 456, 653Calculator?

Out the numbers 384, 704, 456, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.