GCD of 940, 871, 274, 359 Calculator

Given Input numbers are 940, 871, 274, 359

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 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 940, 871, 274, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 871, 274, 359 is 1.

Therefore, GCD of numbers 940, 871, 274, 359 is 1

Given Input Data is 940, 871, 274, 359

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 871 is 13 x 67

Prime Factorization of 274 is 2 x 137

Prime Factorization of 359 is 359

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, 871) = 818740

GCD(940, 871) = ( 940 x 871 ) / 818740

GCD(940, 871) = 818740 / 818740

GCD(940, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 940, 871, 274, 359 is 1

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1. What is the GCD of 940, 871, 274, 359?

GCD of 940, 871, 274, 359 is 1

2. Where do I get the detailed procedure to find GCD of 940, 871, 274, 359?

You can find a detailed procedure to find GCD of 940, 871, 274, 359 on our page.

3. How to find GCD of 940, 871, 274, 359 on a calculator?

You can find the GCD of 940, 871, 274, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.