GCD of 120, 957, 502, 238 Calculator

Given Input numbers are 120, 957, 502, 238

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

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

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 120, 957, 502, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 957, 502, 238 is 1.

Therefore, GCD of numbers 120, 957, 502, 238 is 1

Given Input Data is 120, 957, 502, 238

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 502 is 2 x 251

Prime Factorization of 238 is 2 x 7 x 17

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(120, 957) = 38280

GCD(120, 957) = ( 120 x 957 ) / 38280

GCD(120, 957) = 114840 / 38280

GCD(120, 957) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 502

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

LCM(3, 502) = 1506

GCD(3, 502) = ( 3 x 502 ) / 1506

GCD(3, 502) = 1506 / 1506

GCD(3, 502) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 120, 957, 502, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 284, 267, 959
• GCD of 502, 434, 629, 575
• GCD of 779, 396, 731, 545
• GCD of 223, 244, 902, 922
• GCD of 729, 302, 142, 323

1. What is the GCD of 120, 957, 502, 238?

GCD of 120, 957, 502, 238 is 1

2. Where do I get the detailed procedure to find GCD of 120, 957, 502, 238?

You can find a detailed procedure to find GCD of 120, 957, 502, 238 on our page.

3. How to find GCD of 120, 957, 502, 238 on a calculator?

You can find the GCD of 120, 957, 502, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.