GCD of 90, 262, 177, 226 Calculator

Given Input numbers are 90, 262, 177, 226

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 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 90, 262, 177, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 262, 177, 226 is 1.

Therefore, GCD of numbers 90, 262, 177, 226 is 1

Given Input Data is 90, 262, 177, 226

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 262 is 2 x 131

Prime Factorization of 177 is 3 x 59

Prime Factorization of 226 is 2 x 113

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, 262) = 11790

GCD(90, 262) = ( 90 x 262 ) / 11790

GCD(90, 262) = 23580 / 11790

GCD(90, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 177

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

LCM(2, 177) = 354

GCD(2, 177) = ( 2 x 177 ) / 354

GCD(2, 177) = 354 / 354

GCD(2, 177) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 90, 262, 177, 226 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 685, 757, 293
• GCD of 23, 607, 699, 624
• GCD of 13, 810, 641, 272
• GCD of 96, 160, 397, 601
• GCD of 29, 388, 355, 667

1. What is the GCD of 90, 262, 177, 226?

GCD of 90, 262, 177, 226 is 1

2. Where do I get the detailed procedure to find GCD of 90, 262, 177, 226?

You can find a detailed procedure to find GCD of 90, 262, 177, 226 on our page.

3. How to find GCD of 90, 262, 177, 226 on a calculator?

You can find the GCD of 90, 262, 177, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.