GCD of 724, 224, 737, 497 Calculator

Given Input numbers are 724, 224, 737, 497

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

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 724, 224, 737, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 224, 737, 497 is 1.

Therefore, GCD of numbers 724, 224, 737, 497 is 1

Given Input Data is 724, 224, 737, 497

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 737 is 11 x 67

Prime Factorization of 497 is 7 x 71

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(724, 224) = 40544

GCD(724, 224) = ( 724 x 224 ) / 40544

GCD(724, 224) = 162176 / 40544

GCD(724, 224) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 737

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

LCM(4, 737) = 2948

GCD(4, 737) = ( 4 x 737 ) / 2948

GCD(4, 737) = 2948 / 2948

GCD(4, 737) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 724, 224, 737, 497 is 1

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• GCD of 995, 839, 170, 393
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1. What is the GCD of 724, 224, 737, 497?

GCD of 724, 224, 737, 497 is 1

2. Where do I get the detailed procedure to find GCD of 724, 224, 737, 497?

You can find a detailed procedure to find GCD of 724, 224, 737, 497 on our page.

3. How to find GCD of 724, 224, 737, 497 on a calculator?

You can find the GCD of 724, 224, 737, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.