GCD of 49, 560, 302, 943 Calculator

Given Input numbers are 49, 560, 302, 943

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 49, 560, 302, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 560, 302, 943 is 1.

Therefore, GCD of numbers 49, 560, 302, 943 is 1

Given Input Data is 49, 560, 302, 943

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

Prime Factorization of 49 is 7 x 7

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 943 is 23 x 41

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(49, 560) = 3920

GCD(49, 560) = ( 49 x 560 ) / 3920

GCD(49, 560) = 27440 / 3920

GCD(49, 560) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 302

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

LCM(7, 302) = 2114

GCD(7, 302) = ( 7 x 302 ) / 2114

GCD(7, 302) = 2114 / 2114

GCD(7, 302) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

GCD of 49, 560, 302, 943 is 1

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1. What is the GCD of 49, 560, 302, 943?

GCD of 49, 560, 302, 943 is 1

2. Where do I get the detailed procedure to find GCD of 49, 560, 302, 943?

You can find a detailed procedure to find GCD of 49, 560, 302, 943 on our page.

3. How to find GCD of 49, 560, 302, 943 on a calculator?

You can find the GCD of 49, 560, 302, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.