GCD of 704, 491, 362, 717 Calculator

Given Input numbers are 704, 491, 362, 717

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 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (704, 491, 362, 717) = 1.

Given numbers are 704, 491, 362, 717

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 491 are 491

Prime factors of 362 are 2 x 181

Prime factors of 717 are 3 x 239

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

Given numbers are 704, 491, 362, 717

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

Apply this formula for all numbers.

Step1:

LCM(704, 491) = 345664

GCD(704, 491) = ( 704 x 491 ) / 345664

= 704 / 491

= 704

Step2:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1

Step3:

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

= 1 / 717

= 1

So, Greatest Common Divisor of 704, 491, 362, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 437, 224, 367
• GCD of 529, 317, 114, 344
• GCD of 804, 726, 653, 160
• GCD of 362, 622, 828, 921
• GCD of 854, 770, 572, 719

Given numbers are 704, 491, 362, 717
The greatest common divisor of numbers 704, 491, 362, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 491, 362, 717 is 1.

1. What is the GCD of 704, 491, 362, 717?

GCD of given numbers 704, 491, 362, 717 is 1

2. How to calculate the greatest common divisor of 704, 491, 362, 717?

We can find the highest common divisor of 704, 491, 362, 717 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, 491, 362, 717 i.e 1.

3. How can I use the GCD of 704, 491, 362, 717Calculator?

Out the numbers 704, 491, 362, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.