GCD of 43, 560, 420, 959 Calculator

Given Input numbers are 43, 560, 420, 959

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 43, 560, 420, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 560, 420, 959 is 1.

Therefore, GCD of numbers 43, 560, 420, 959 is 1

Given Input Data is 43, 560, 420, 959

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

Prime Factorization of 43 is 43

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 959 is 7 x 137

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(43, 560) = 24080

GCD(43, 560) = ( 43 x 560 ) / 24080

GCD(43, 560) = 24080 / 24080

GCD(43, 560) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 43, 560, 420, 959 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 217, 662, 536
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• GCD of 85, 759, 790, 751

1. What is the GCD of 43, 560, 420, 959?

GCD of 43, 560, 420, 959 is 1

2. Where do I get the detailed procedure to find GCD of 43, 560, 420, 959?

You can find a detailed procedure to find GCD of 43, 560, 420, 959 on our page.

3. How to find GCD of 43, 560, 420, 959 on a calculator?

You can find the GCD of 43, 560, 420, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.