GCD of 704, 888, 45, 723 Calculator

Given Input numbers are 704, 888, 45, 723

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 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (704, 888, 45, 723) = 1.

Given numbers are 704, 888, 45, 723

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 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 45 are 3 x 3 x 5

Prime factors of 723 are 3 x 241

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

Given numbers are 704, 888, 45, 723

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

Apply this formula for all numbers.

Step1:

LCM(704, 888) = 78144

GCD(704, 888) = ( 704 x 888 ) / 78144

= 704 / 888

= 704

Step2:

LCM(8, 45) = 360

GCD(8, 45) = ( 8 x 45 ) / 360

= 8 / 45

= 8

Step3:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

So, Greatest Common Divisor of 704, 888, 45, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 390, 26, 635
• GCD of 521, 346, 29, 725
• GCD of 864, 403, 79, 276
• GCD of 399, 864, 64, 238
• GCD of 884, 440, 71, 365

Given numbers are 704, 888, 45, 723
The greatest common divisor of numbers 704, 888, 45, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 888, 45, 723 is 1.

1. What is the GCD of 704, 888, 45, 723?

GCD of given numbers 704, 888, 45, 723 is 1

2. How to calculate the greatest common divisor of 704, 888, 45, 723?

We can find the highest common divisor of 704, 888, 45, 723 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, 888, 45, 723 i.e 1.

3. How can I use the GCD of 704, 888, 45, 723Calculator?

Out the numbers 704, 888, 45, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.