GCD of 563, 153, 942, 170 Calculator

Given Input numbers are 563, 153, 942, 170

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

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 563, 153, 942, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 153, 942, 170 is 1.

Therefore, GCD of numbers 563, 153, 942, 170 is 1

Given Input Data is 563, 153, 942, 170

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

Prime Factorization of 563 is 563

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 170 is 2 x 5 x 17

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(563, 153) = 86139

GCD(563, 153) = ( 563 x 153 ) / 86139

GCD(563, 153) = 86139 / 86139

GCD(563, 153) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 563, 153, 942, 170 is 1

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1. What is the GCD of 563, 153, 942, 170?

GCD of 563, 153, 942, 170 is 1

2. Where do I get the detailed procedure to find GCD of 563, 153, 942, 170?

You can find a detailed procedure to find GCD of 563, 153, 942, 170 on our page.

3. How to find GCD of 563, 153, 942, 170 on a calculator?

You can find the GCD of 563, 153, 942, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.