GCD of 724, 404, 802, 491 Calculator

Given Input numbers are 724, 404, 802, 491

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 491 :

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

1, 491

GCD of numbers is the greatest common divisor

So, the GCD (724, 404, 802, 491) = 1.

Given numbers are 724, 404, 802, 491

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 404 are 2 x 2 x 101

Prime factors of 802 are 2 x 401

Prime factors of 491 are 491

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

Given numbers are 724, 404, 802, 491

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

Apply this formula for all numbers.

Step1:

LCM(724, 404) = 73124

GCD(724, 404) = ( 724 x 404 ) / 73124

= 724 / 404

= 724

Step2:

LCM(4, 802) = 1604

GCD(4, 802) = ( 4 x 802 ) / 1604

= 4 / 802

= 4

Step3:

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

= 2 / 491

= 2

So, Greatest Common Divisor of 724, 404, 802, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 688, 797, 460
• GCD of 361, 607, 148, 561
• GCD of 700, 967, 640, 831
• GCD of 225, 920, 854, 841
• GCD of 891, 795, 728, 923

Given numbers are 724, 404, 802, 491
The greatest common divisor of numbers 724, 404, 802, 491 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 404, 802, 491 is 1.

1. What is the GCD of 724, 404, 802, 491?

GCD of given numbers 724, 404, 802, 491 is 1

2. How to calculate the greatest common divisor of 724, 404, 802, 491?

We can find the highest common divisor of 724, 404, 802, 491 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 724, 404, 802, 491 i.e 1.

3. How can I use the GCD of 724, 404, 802, 491Calculator?

Out the numbers 724, 404, 802, 491 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.