GCD of 157, 298, 29, 240 Calculator

Given Input numbers are 157, 298, 29, 240

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

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 157, 298, 29, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 298, 29, 240 is 1.

Therefore, GCD of numbers 157, 298, 29, 240 is 1

Given Input Data is 157, 298, 29, 240

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

Prime Factorization of 157 is 157

Prime Factorization of 298 is 2 x 149

Prime Factorization of 29 is 29

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(157, 298) = 46786

GCD(157, 298) = ( 157 x 298 ) / 46786

GCD(157, 298) = 46786 / 46786

GCD(157, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 157, 298, 29, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 108, 90, 218
• GCD of 957, 906, 31, 166
• GCD of 423, 470, 94, 465
• GCD of 191, 844, 78, 366
• GCD of 274, 665, 77, 244

1. What is the GCD of 157, 298, 29, 240?

GCD of 157, 298, 29, 240 is 1

2. Where do I get the detailed procedure to find GCD of 157, 298, 29, 240?

You can find a detailed procedure to find GCD of 157, 298, 29, 240 on our page.

3. How to find GCD of 157, 298, 29, 240 on a calculator?

You can find the GCD of 157, 298, 29, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.