GCD of 371, 764, 169, 675 Calculator

Given Input numbers are 371, 764, 169, 675

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 371, 764, 169, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 764, 169, 675 is 1.

Therefore, GCD of numbers 371, 764, 169, 675 is 1

Given Input Data is 371, 764, 169, 675

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 169 is 13 x 13

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(371, 764) = 283444

GCD(371, 764) = ( 371 x 764 ) / 283444

GCD(371, 764) = 283444 / 283444

GCD(371, 764) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 371, 764, 169, 675 is 1

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1. What is the GCD of 371, 764, 169, 675?

GCD of 371, 764, 169, 675 is 1

2. Where do I get the detailed procedure to find GCD of 371, 764, 169, 675?

You can find a detailed procedure to find GCD of 371, 764, 169, 675 on our page.

3. How to find GCD of 371, 764, 169, 675 on a calculator?

You can find the GCD of 371, 764, 169, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.