GCD of 722, 715, 24, 154 Calculator

Given Input numbers are 722, 715, 24, 154

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 722, 715, 24, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 715, 24, 154 is 1.

Therefore, GCD of numbers 722, 715, 24, 154 is 1

Given Input Data is 722, 715, 24, 154

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 154 is 2 x 7 x 11

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(722, 715) = 516230

GCD(722, 715) = ( 722 x 715 ) / 516230

GCD(722, 715) = 516230 / 516230

GCD(722, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 722, 715, 24, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 563, 71, 782
• GCD of 846, 485, 93, 601
• GCD of 434, 870, 68, 923
• GCD of 199, 540, 50, 343
• GCD of 137, 979, 45, 423

1. What is the GCD of 722, 715, 24, 154?

GCD of 722, 715, 24, 154 is 1

2. Where do I get the detailed procedure to find GCD of 722, 715, 24, 154?

You can find a detailed procedure to find GCD of 722, 715, 24, 154 on our page.

3. How to find GCD of 722, 715, 24, 154 on a calculator?

You can find the GCD of 722, 715, 24, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.