GCD of 940, 277, 111, 642 Calculator

Given Input numbers are 940, 277, 111, 642

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 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 940, 277, 111, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 277, 111, 642 is 1.

Therefore, GCD of numbers 940, 277, 111, 642 is 1

Given Input Data is 940, 277, 111, 642

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 277 is 277

Prime Factorization of 111 is 3 x 37

Prime Factorization of 642 is 2 x 3 x 107

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, 277) = 260380

GCD(940, 277) = ( 940 x 277 ) / 260380

GCD(940, 277) = 260380 / 260380

GCD(940, 277) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 940, 277, 111, 642 is 1

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1. What is the GCD of 940, 277, 111, 642?

GCD of 940, 277, 111, 642 is 1

2. Where do I get the detailed procedure to find GCD of 940, 277, 111, 642?

You can find a detailed procedure to find GCD of 940, 277, 111, 642 on our page.

3. How to find GCD of 940, 277, 111, 642 on a calculator?

You can find the GCD of 940, 277, 111, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.