GCD of 240, 952, 49, 412 Calculator

Given Input numbers are 240, 952, 49, 412

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

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 240, 952, 49, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 952, 49, 412 is 1.

Therefore, GCD of numbers 240, 952, 49, 412 is 1

Given Input Data is 240, 952, 49, 412

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

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 49 is 7 x 7

Prime Factorization of 412 is 2 x 2 x 103

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(240, 952) = 28560

GCD(240, 952) = ( 240 x 952 ) / 28560

GCD(240, 952) = 228480 / 28560

GCD(240, 952) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 49

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

LCM(8, 49) = 392

GCD(8, 49) = ( 8 x 49 ) / 392

GCD(8, 49) = 392 / 392

GCD(8, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 240, 952, 49, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 828, 14, 698
• GCD of 746, 858, 97, 682
• GCD of 667, 442, 67, 103
• GCD of 411, 948, 94, 455
• GCD of 453, 572, 50, 997

1. What is the GCD of 240, 952, 49, 412?

GCD of 240, 952, 49, 412 is 1

2. Where do I get the detailed procedure to find GCD of 240, 952, 49, 412?

You can find a detailed procedure to find GCD of 240, 952, 49, 412 on our page.

3. How to find GCD of 240, 952, 49, 412 on a calculator?

You can find the GCD of 240, 952, 49, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.