GCD of 170, 938, 767, 471 Calculator

Given Input numbers are 170, 938, 767, 471

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

Divisors of 170

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

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 170, 938, 767, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 938, 767, 471 is 1.

Therefore, GCD of numbers 170, 938, 767, 471 is 1

Given Input Data is 170, 938, 767, 471

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 767 is 13 x 59

Prime Factorization of 471 is 3 x 157

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(170, 938) = 79730

GCD(170, 938) = ( 170 x 938 ) / 79730

GCD(170, 938) = 159460 / 79730

GCD(170, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 767

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

LCM(2, 767) = 1534

GCD(2, 767) = ( 2 x 767 ) / 1534

GCD(2, 767) = 1534 / 1534

GCD(2, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 170, 938, 767, 471 is 1

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1. What is the GCD of 170, 938, 767, 471?

GCD of 170, 938, 767, 471 is 1

2. Where do I get the detailed procedure to find GCD of 170, 938, 767, 471?

You can find a detailed procedure to find GCD of 170, 938, 767, 471 on our page.

3. How to find GCD of 170, 938, 767, 471 on a calculator?

You can find the GCD of 170, 938, 767, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.