GCD of 274, 560, 843, 935 Calculator

Given Input numbers are 274, 560, 843, 935

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

Divisors of 274

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

1, 2, 137, 274

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 274, 560, 843, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 560, 843, 935 is 1.

Therefore, GCD of numbers 274, 560, 843, 935 is 1

Given Input Data is 274, 560, 843, 935

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 843 is 3 x 281

Prime Factorization of 935 is 5 x 11 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(274, 560) = 76720

GCD(274, 560) = ( 274 x 560 ) / 76720

GCD(274, 560) = 153440 / 76720

GCD(274, 560) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 843

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

LCM(2, 843) = 1686

GCD(2, 843) = ( 2 x 843 ) / 1686

GCD(2, 843) = 1686 / 1686

GCD(2, 843) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 935

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

LCM(1, 935) = 935

GCD(1, 935) = ( 1 x 935 ) / 935

GCD(1, 935) = 935 / 935

GCD(1, 935) = 1

GCD of 274, 560, 843, 935 is 1

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1. What is the GCD of 274, 560, 843, 935?

GCD of 274, 560, 843, 935 is 1

2. Where do I get the detailed procedure to find GCD of 274, 560, 843, 935?

You can find a detailed procedure to find GCD of 274, 560, 843, 935 on our page.

3. How to find GCD of 274, 560, 843, 935 on a calculator?

You can find the GCD of 274, 560, 843, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.