GCD of 560, 804, 842, 954 Calculator

Given Input numbers are 560, 804, 842, 954

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

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 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 560, 804, 842, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 804, 842, 954 is 2.

Therefore, GCD of numbers 560, 804, 842, 954 is 2

Given Input Data is 560, 804, 842, 954

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

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 842 is 2 x 421

Prime Factorization of 954 is 2 x 3 x 3 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(560, 804) = 112560

GCD(560, 804) = ( 560 x 804 ) / 112560

GCD(560, 804) = 450240 / 112560

GCD(560, 804) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 842

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

LCM(4, 842) = 1684

GCD(4, 842) = ( 4 x 842 ) / 1684

GCD(4, 842) = 3368 / 1684

GCD(4, 842) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 954

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

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

GCD(2, 954) = 1908 / 954

GCD(2, 954) = 2

GCD of 560, 804, 842, 954 is 2

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1. What is the GCD of 560, 804, 842, 954?

GCD of 560, 804, 842, 954 is 2

2. Where do I get the detailed procedure to find GCD of 560, 804, 842, 954?

You can find a detailed procedure to find GCD of 560, 804, 842, 954 on our page.

3. How to find GCD of 560, 804, 842, 954 on a calculator?

You can find the GCD of 560, 804, 842, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.