GCD of 731, 692, 749, 144 Calculator

Given Input numbers are 731, 692, 749, 144

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 692

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

1, 2, 4, 173, 346, 692

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 731, 692, 749, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 692, 749, 144 is 1.

Therefore, GCD of numbers 731, 692, 749, 144 is 1

Given Input Data is 731, 692, 749, 144

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 749 is 7 x 107

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(731, 692) = 505852

GCD(731, 692) = ( 731 x 692 ) / 505852

GCD(731, 692) = 505852 / 505852

GCD(731, 692) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 731, 692, 749, 144 is 1

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• GCD of 811, 994, 843, 808
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• GCD of 746, 764, 525, 297

1. What is the GCD of 731, 692, 749, 144?

GCD of 731, 692, 749, 144 is 1

2. Where do I get the detailed procedure to find GCD of 731, 692, 749, 144?

You can find a detailed procedure to find GCD of 731, 692, 749, 144 on our page.

3. How to find GCD of 731, 692, 749, 144 on a calculator?

You can find the GCD of 731, 692, 749, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.