GCD of 90, 916, 754, 797 Calculator

Given Input numbers are 90, 916, 754, 797

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

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Greatest Common Divisior

We found the divisors of 90, 916, 754, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 916, 754, 797 is 1.

Therefore, GCD of numbers 90, 916, 754, 797 is 1

Given Input Data is 90, 916, 754, 797

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

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 797 is 797

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(90, 916) = 41220

GCD(90, 916) = ( 90 x 916 ) / 41220

GCD(90, 916) = 82440 / 41220

GCD(90, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 754

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

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

GCD(2, 754) = 1508 / 754

GCD(2, 754) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 797

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

LCM(2, 797) = 1594

GCD(2, 797) = ( 2 x 797 ) / 1594

GCD(2, 797) = 1594 / 1594

GCD(2, 797) = 1

GCD of 90, 916, 754, 797 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 753, 952, 885
• GCD of 35, 439, 649, 462
• GCD of 47, 145, 254, 393
• GCD of 32, 176, 216, 929
• GCD of 30, 129, 611, 849

1. What is the GCD of 90, 916, 754, 797?

GCD of 90, 916, 754, 797 is 1

2. Where do I get the detailed procedure to find GCD of 90, 916, 754, 797?

You can find a detailed procedure to find GCD of 90, 916, 754, 797 on our page.

3. How to find GCD of 90, 916, 754, 797 on a calculator?

You can find the GCD of 90, 916, 754, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.