GCD of 892, 134, 295, 570 Calculator

Given Input numbers are 892, 134, 295, 570

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

Divisors of 892

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

1, 2, 4, 223, 446, 892

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Greatest Common Divisior

We found the divisors of 892, 134, 295, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 134, 295, 570 is 1.

Therefore, GCD of numbers 892, 134, 295, 570 is 1

Given Input Data is 892, 134, 295, 570

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 134 is 2 x 67

Prime Factorization of 295 is 5 x 59

Prime Factorization of 570 is 2 x 3 x 5 x 19

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(892, 134) = 59764

GCD(892, 134) = ( 892 x 134 ) / 59764

GCD(892, 134) = 119528 / 59764

GCD(892, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 295

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

LCM(2, 295) = 590

GCD(2, 295) = ( 2 x 295 ) / 590

GCD(2, 295) = 590 / 590

GCD(2, 295) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 570

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

LCM(1, 570) = 570

GCD(1, 570) = ( 1 x 570 ) / 570

GCD(1, 570) = 570 / 570

GCD(1, 570) = 1

GCD of 892, 134, 295, 570 is 1

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1. What is the GCD of 892, 134, 295, 570?

GCD of 892, 134, 295, 570 is 1

2. Where do I get the detailed procedure to find GCD of 892, 134, 295, 570?

You can find a detailed procedure to find GCD of 892, 134, 295, 570 on our page.

3. How to find GCD of 892, 134, 295, 570 on a calculator?

You can find the GCD of 892, 134, 295, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.