GCD of 90, 783, 138, 505 Calculator

Given Input numbers are 90, 783, 138, 505

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 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 90, 783, 138, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 783, 138, 505 is 1.

Therefore, GCD of numbers 90, 783, 138, 505 is 1

Given Input Data is 90, 783, 138, 505

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 783 is 3 x 3 x 3 x 29

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 505 is 5 x 101

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, 783) = 7830

GCD(90, 783) = ( 90 x 783 ) / 7830

GCD(90, 783) = 70470 / 7830

GCD(90, 783) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 138

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

LCM(9, 138) = 414

GCD(9, 138) = ( 9 x 138 ) / 414

GCD(9, 138) = 1242 / 414

GCD(9, 138) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 505

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

LCM(3, 505) = 1515

GCD(3, 505) = ( 3 x 505 ) / 1515

GCD(3, 505) = 1515 / 1515

GCD(3, 505) = 1

GCD of 90, 783, 138, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 650, 980, 459
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• GCD of 27, 278, 797, 509

1. What is the GCD of 90, 783, 138, 505?

GCD of 90, 783, 138, 505 is 1

2. Where do I get the detailed procedure to find GCD of 90, 783, 138, 505?

You can find a detailed procedure to find GCD of 90, 783, 138, 505 on our page.

3. How to find GCD of 90, 783, 138, 505 on a calculator?

You can find the GCD of 90, 783, 138, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.