GCD of 975, 362, 769, 171 Calculator

Given Input numbers are 975, 362, 769, 171

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 975, 362, 769, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 362, 769, 171 is 1.

Therefore, GCD of numbers 975, 362, 769, 171 is 1

Given Input Data is 975, 362, 769, 171

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 362 is 2 x 181

Prime Factorization of 769 is 769

Prime Factorization of 171 is 3 x 3 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(975, 362) = 352950

GCD(975, 362) = ( 975 x 362 ) / 352950

GCD(975, 362) = 352950 / 352950

GCD(975, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 975, 362, 769, 171 is 1

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1. What is the GCD of 975, 362, 769, 171?

GCD of 975, 362, 769, 171 is 1

2. Where do I get the detailed procedure to find GCD of 975, 362, 769, 171?

You can find a detailed procedure to find GCD of 975, 362, 769, 171 on our page.

3. How to find GCD of 975, 362, 769, 171 on a calculator?

You can find the GCD of 975, 362, 769, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.