GCD of 560, 896, 892 Calculator

Given Input numbers are 560, 896, 892

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 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 560, 896, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 896, 892 is 4.

Therefore, GCD of numbers 560, 896, 892 is 4

Given Input Data is 560, 896, 892

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 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 892 is 2 x 2 x 223

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 896) = 4480

GCD(560, 896) = ( 560 x 896 ) / 4480

GCD(560, 896) = 501760 / 4480

GCD(560, 896) = 112

Step2:

Here we consider the GCD from the above i.e. 112 as first number and the next as 892

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

LCM(112, 892) = 24976

GCD(112, 892) = ( 112 x 892 ) / 24976

GCD(112, 892) = 99904 / 24976

GCD(112, 892) = 4

GCD of 560, 896, 892 is 4

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1. What is the GCD of 560, 896, 892?

GCD of 560, 896, 892 is 4

2. Where do I get the detailed procedure to find GCD of 560, 896, 892?

You can find a detailed procedure to find GCD of 560, 896, 892 on our page.

3. How to find GCD of 560, 896, 892 on a calculator?

You can find the GCD of 560, 896, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.