GCD of 940, 867, 148, 408 Calculator

Given Input numbers are 940, 867, 148, 408

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 940, 867, 148, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 867, 148, 408 is 1.

Therefore, GCD of numbers 940, 867, 148, 408 is 1

Given Input Data is 940, 867, 148, 408

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 408 is 2 x 2 x 2 x 3 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(940, 867) = 814980

GCD(940, 867) = ( 940 x 867 ) / 814980

GCD(940, 867) = 814980 / 814980

GCD(940, 867) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 940, 867, 148, 408 is 1

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1. What is the GCD of 940, 867, 148, 408?

GCD of 940, 867, 148, 408 is 1

2. Where do I get the detailed procedure to find GCD of 940, 867, 148, 408?

You can find a detailed procedure to find GCD of 940, 867, 148, 408 on our page.

3. How to find GCD of 940, 867, 148, 408 on a calculator?

You can find the GCD of 940, 867, 148, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.