GCD of 704, 384, 149, 496 Calculator

Given Input numbers are 704, 384, 149, 496

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

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 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 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (704, 384, 149, 496) = 1.

Given numbers are 704, 384, 149, 496

The list of prime factors of all numbers are

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

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

Prime factors of 149 are 149

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Given numbers are 704, 384, 149, 496

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

Apply this formula for all numbers.

Step1:

LCM(704, 384) = 4224

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

= 704 / 384

= 704

Step2:

LCM(64, 149) = 9536

GCD(64, 149) = ( 64 x 149 ) / 9536

= 64 / 149

= 64

Step3:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

So, Greatest Common Divisor of 704, 384, 149, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 123, 520, 265
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Given numbers are 704, 384, 149, 496
The greatest common divisor of numbers 704, 384, 149, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 384, 149, 496 is 1.

1. What is the GCD of 704, 384, 149, 496?

GCD of given numbers 704, 384, 149, 496 is 1

2. How to calculate the greatest common divisor of 704, 384, 149, 496?

We can find the highest common divisor of 704, 384, 149, 496 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 704, 384, 149, 496 i.e 1.

3. How can I use the GCD of 704, 384, 149, 496Calculator?

Out the numbers 704, 384, 149, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.