GCD of 105, 577, 57, 724 Calculator

Given Input numbers are 105, 577, 57, 724

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 577

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

1, 577

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 105, 577, 57, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 577, 57, 724 is 1.

Therefore, GCD of numbers 105, 577, 57, 724 is 1

Given Input Data is 105, 577, 57, 724

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 577 is 577

Prime Factorization of 57 is 3 x 19

Prime Factorization of 724 is 2 x 2 x 181

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(105, 577) = 60585

GCD(105, 577) = ( 105 x 577 ) / 60585

GCD(105, 577) = 60585 / 60585

GCD(105, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 105, 577, 57, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 229, 77, 196
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• GCD of 353, 989, 17, 174
• GCD of 596, 267, 50, 446
• GCD of 382, 287, 12, 726

1. What is the GCD of 105, 577, 57, 724?

GCD of 105, 577, 57, 724 is 1

2. Where do I get the detailed procedure to find GCD of 105, 577, 57, 724?

You can find a detailed procedure to find GCD of 105, 577, 57, 724 on our page.

3. How to find GCD of 105, 577, 57, 724 on a calculator?

You can find the GCD of 105, 577, 57, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.