GCD of 491, 704, 331, 723 Calculator

Given Input numbers are 491, 704, 331, 723

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

Divisors of 491 :

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

1, 491

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 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

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 (491, 704, 331, 723) = 1.

Given numbers are 491, 704, 331, 723

The list of prime factors of all numbers are

Prime factors of 491 are 491

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

Prime factors of 331 are 331

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 491, 704, 331, 723

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

Apply this formula for all numbers.

Step1:

LCM(491, 704) = 345664

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

= 491 / 704

= 491

Step2:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1

Step3:

LCM(1, 723) = 723

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

= 1 / 723

= 1

So, Greatest Common Divisor of 491, 704, 331, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 570, 852, 225, 667
• GCD of 336, 673, 461, 734
• GCD of 666, 687, 669, 604
• GCD of 151, 403, 883, 810
• GCD of 474, 927, 947, 107

Given numbers are 491, 704, 331, 723
The greatest common divisor of numbers 491, 704, 331, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 704, 331, 723 is 1.

1. What is the GCD of 491, 704, 331, 723?

GCD of given numbers 491, 704, 331, 723 is 1

2. How to calculate the greatest common divisor of 491, 704, 331, 723?

We can find the highest common divisor of 491, 704, 331, 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 491, 704, 331, 723 i.e 1.

3. How can I use the GCD of 491, 704, 331, 723Calculator?

Out the numbers 491, 704, 331, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.