GCD of 545, 692, 724, 401 Calculator

Given Input numbers are 545, 692, 724, 401

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 545, 692, 724, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 692, 724, 401 is 1.

Therefore, GCD of numbers 545, 692, 724, 401 is 1

Given Input Data is 545, 692, 724, 401

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 401 is 401

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(545, 692) = 377140

GCD(545, 692) = ( 545 x 692 ) / 377140

GCD(545, 692) = 377140 / 377140

GCD(545, 692) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 545, 692, 724, 401 is 1

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• GCD of 112, 596, 214, 468
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• GCD of 183, 634, 565, 800

1. What is the GCD of 545, 692, 724, 401?

GCD of 545, 692, 724, 401 is 1

2. Where do I get the detailed procedure to find GCD of 545, 692, 724, 401?

You can find a detailed procedure to find GCD of 545, 692, 724, 401 on our page.

3. How to find GCD of 545, 692, 724, 401 on a calculator?

You can find the GCD of 545, 692, 724, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.