GCD of 577, 932, 305, 135 Calculator

Given Input numbers are 577, 932, 305, 135

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 577, 932, 305, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 932, 305, 135 is 1.

Therefore, GCD of numbers 577, 932, 305, 135 is 1

Given Input Data is 577, 932, 305, 135

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

Prime Factorization of 577 is 577

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 305 is 5 x 61

Prime Factorization of 135 is 3 x 3 x 3 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(577, 932) = 537764

GCD(577, 932) = ( 577 x 932 ) / 537764

GCD(577, 932) = 537764 / 537764

GCD(577, 932) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 577, 932, 305, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 531, 593, 758
• GCD of 224, 453, 751, 372
• GCD of 627, 220, 656, 997
• GCD of 797, 229, 227, 437
• GCD of 518, 187, 908, 763

1. What is the GCD of 577, 932, 305, 135?

GCD of 577, 932, 305, 135 is 1

2. Where do I get the detailed procedure to find GCD of 577, 932, 305, 135?

You can find a detailed procedure to find GCD of 577, 932, 305, 135 on our page.

3. How to find GCD of 577, 932, 305, 135 on a calculator?

You can find the GCD of 577, 932, 305, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.