GCD of 491, 409, 31, 802 Calculator

Given Input numbers are 491, 409, 31, 802

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 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

Divisors of 802 :

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

1, 2, 401, 802

GCD of numbers is the greatest common divisor

So, the GCD (491, 409, 31, 802) = 1.

Given numbers are 491, 409, 31, 802

The list of prime factors of all numbers are

Prime factors of 491 are 491

Prime factors of 409 are 409

Prime factors of 31 are 31

Prime factors of 802 are 2 x 401

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

Given numbers are 491, 409, 31, 802

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

Apply this formula for all numbers.

Step1:

LCM(491, 409) = 200819

GCD(491, 409) = ( 491 x 409 ) / 200819

= 491 / 409

= 491

Step2:

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

= 1 / 31

= 1

Step3:

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

= 1 / 802

= 1

So, Greatest Common Divisor of 491, 409, 31, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 674, 10, 155
• GCD of 816, 787, 43, 858
• GCD of 511, 862, 68, 423
• GCD of 114, 805, 99, 440
• GCD of 742, 556, 49, 347

Given numbers are 491, 409, 31, 802
The greatest common divisor of numbers 491, 409, 31, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 409, 31, 802 is 1.

1. What is the GCD of 491, 409, 31, 802?

GCD of given numbers 491, 409, 31, 802 is 1

2. How to calculate the greatest common divisor of 491, 409, 31, 802?

We can find the highest common divisor of 491, 409, 31, 802 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, 409, 31, 802 i.e 1.

3. How can I use the GCD of 491, 409, 31, 802Calculator?

Out the numbers 491, 409, 31, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.