GCD of 491, 711, 90, 100 Calculator

Given Input numbers are 491, 711, 90, 100

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 491, 711, 90, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 711, 90, 100 is 1.

Therefore, GCD of numbers 491, 711, 90, 100 is 1

Given Input Data is 491, 711, 90, 100

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 491 is 491

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 100 is 2 x 2 x 5 x 5

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(491, 711) = 349101

GCD(491, 711) = ( 491 x 711 ) / 349101

GCD(491, 711) = 349101 / 349101

GCD(491, 711) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 491, 711, 90, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 579, 53, 622
• GCD of 944, 849, 95, 183
• GCD of 360, 567, 46, 584
• GCD of 830, 513, 48, 755
• GCD of 453, 954, 81, 799

1. What is the GCD of 491, 711, 90, 100?

GCD of 491, 711, 90, 100 is 1

2. Where do I get the detailed procedure to find GCD of 491, 711, 90, 100?

You can find a detailed procedure to find GCD of 491, 711, 90, 100 on our page.

3. How to find GCD of 491, 711, 90, 100 on a calculator?

You can find the GCD of 491, 711, 90, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.