GCD of 40, 120, 653, 944 Calculator

Given Input numbers are 40, 120, 653, 944

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 653

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

1, 653

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 40, 120, 653, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 120, 653, 944 is 1.

Therefore, GCD of numbers 40, 120, 653, 944 is 1

Given Input Data is 40, 120, 653, 944

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

Prime Factorization of 653 is 653

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(40, 120) = 120

GCD(40, 120) = ( 40 x 120 ) / 120

GCD(40, 120) = 4800 / 120

GCD(40, 120) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 653

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

LCM(40, 653) = 26120

GCD(40, 653) = ( 40 x 653 ) / 26120

GCD(40, 653) = 26120 / 26120

GCD(40, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 40, 120, 653, 944 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 918, 129, 473
• GCD of 18, 470, 211, 112
• GCD of 70, 145, 218, 391
• GCD of 91, 691, 248, 112
• GCD of 57, 870, 355, 851

1. What is the GCD of 40, 120, 653, 944?

GCD of 40, 120, 653, 944 is 1

2. Where do I get the detailed procedure to find GCD of 40, 120, 653, 944?

You can find a detailed procedure to find GCD of 40, 120, 653, 944 on our page.

3. How to find GCD of 40, 120, 653, 944 on a calculator?

You can find the GCD of 40, 120, 653, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.