GCD of 90, 263, 690, 549 Calculator

Given Input numbers are 90, 263, 690, 549

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 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 90, 263, 690, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 263, 690, 549 is 1.

Therefore, GCD of numbers 90, 263, 690, 549 is 1

Given Input Data is 90, 263, 690, 549

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 263 is 263

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 549 is 3 x 3 x 61

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, 263) = 23670

GCD(90, 263) = ( 90 x 263 ) / 23670

GCD(90, 263) = 23670 / 23670

GCD(90, 263) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

GCD of 90, 263, 690, 549 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 586, 821, 806
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• GCD of 76, 289, 821, 977
• GCD of 12, 262, 836, 780

1. What is the GCD of 90, 263, 690, 549?

GCD of 90, 263, 690, 549 is 1

2. Where do I get the detailed procedure to find GCD of 90, 263, 690, 549?

You can find a detailed procedure to find GCD of 90, 263, 690, 549 on our page.

3. How to find GCD of 90, 263, 690, 549 on a calculator?

You can find the GCD of 90, 263, 690, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.