GCD of 704, 365, 464, 428 Calculator

Given Input numbers are 704, 365, 464, 428

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 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (704, 365, 464, 428) = 1.

Given numbers are 704, 365, 464, 428

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 365 are 5 x 73

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 704, 365, 464, 428

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

Apply this formula for all numbers.

Step1:

LCM(704, 365) = 256960

GCD(704, 365) = ( 704 x 365 ) / 256960

= 704 / 365

= 704

Step2:

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

= 1 / 464

= 1

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 704, 365, 464, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 344, 119, 735
• GCD of 660, 669, 502, 929
• GCD of 488, 119, 294, 318
• GCD of 985, 421, 470, 503
• GCD of 885, 317, 154, 283

Given numbers are 704, 365, 464, 428
The greatest common divisor of numbers 704, 365, 464, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 365, 464, 428 is 1.

1. What is the GCD of 704, 365, 464, 428?

GCD of given numbers 704, 365, 464, 428 is 1

2. How to calculate the greatest common divisor of 704, 365, 464, 428?

We can find the highest common divisor of 704, 365, 464, 428 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, 365, 464, 428 i.e 1.

3. How can I use the GCD of 704, 365, 464, 428Calculator?

Out the numbers 704, 365, 464, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.