GCD of 738, 464, 495, 704 Calculator

Given Input numbers are 738, 464, 495, 704

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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

GCD of numbers is the greatest common divisor

So, the GCD (738, 464, 495, 704) = 1.

Given numbers are 738, 464, 495, 704

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

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

Prime factors of 495 are 3 x 3 x 5 x 11

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

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

Given numbers are 738, 464, 495, 704

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

Apply this formula for all numbers.

Step1:

LCM(738, 464) = 171216

GCD(738, 464) = ( 738 x 464 ) / 171216

= 738 / 464

= 738

Step2:

LCM(2, 495) = 990

GCD(2, 495) = ( 2 x 495 ) / 990

= 2 / 495

= 2

Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

So, Greatest Common Divisor of 738, 464, 495, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 309, 942, 991
• GCD of 512, 287, 765, 592
• GCD of 905, 103, 436, 123
• GCD of 147, 252, 621, 764
• GCD of 805, 926, 341, 624

Given numbers are 738, 464, 495, 704
The greatest common divisor of numbers 738, 464, 495, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 464, 495, 704 is 1.

1. What is the GCD of 738, 464, 495, 704?

GCD of given numbers 738, 464, 495, 704 is 1

2. How to calculate the greatest common divisor of 738, 464, 495, 704?

We can find the highest common divisor of 738, 464, 495, 704 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 738, 464, 495, 704 i.e 1.

3. How can I use the GCD of 738, 464, 495, 704Calculator?

Out the numbers 738, 464, 495, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.