GCD of 72, 674, 719, 653 Calculator

Given Input numbers are 72, 674, 719, 653

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 72, 674, 719, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 674, 719, 653 is 1.

Therefore, GCD of numbers 72, 674, 719, 653 is 1

Given Input Data is 72, 674, 719, 653

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 674 is 2 x 337

Prime Factorization of 719 is 719

Prime Factorization of 653 is 653

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(72, 674) = 24264

GCD(72, 674) = ( 72 x 674 ) / 24264

GCD(72, 674) = 48528 / 24264

GCD(72, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 719

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

LCM(2, 719) = 1438

GCD(2, 719) = ( 2 x 719 ) / 1438

GCD(2, 719) = 1438 / 1438

GCD(2, 719) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 72, 674, 719, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 150, 568, 338
• GCD of 80, 403, 437, 176
• GCD of 99, 182, 246, 482
• GCD of 10, 720, 187, 206
• GCD of 87, 684, 982, 500

1. What is the GCD of 72, 674, 719, 653?

GCD of 72, 674, 719, 653 is 1

2. Where do I get the detailed procedure to find GCD of 72, 674, 719, 653?

You can find a detailed procedure to find GCD of 72, 674, 719, 653 on our page.

3. How to find GCD of 72, 674, 719, 653 on a calculator?

You can find the GCD of 72, 674, 719, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.