GCD of 60, 345, 775, 634 Calculator

Given Input numbers are 60, 345, 775, 634

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 60, 345, 775, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 345, 775, 634 is 1.

Therefore, GCD of numbers 60, 345, 775, 634 is 1

Given Input Data is 60, 345, 775, 634

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 634 is 2 x 317

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(60, 345) = 1380

GCD(60, 345) = ( 60 x 345 ) / 1380

GCD(60, 345) = 20700 / 1380

GCD(60, 345) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 775

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

LCM(15, 775) = 2325

GCD(15, 775) = ( 15 x 775 ) / 2325

GCD(15, 775) = 11625 / 2325

GCD(15, 775) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 634

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

LCM(5, 634) = 3170

GCD(5, 634) = ( 5 x 634 ) / 3170

GCD(5, 634) = 3170 / 3170

GCD(5, 634) = 1

GCD of 60, 345, 775, 634 is 1

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• GCD of 57, 200, 363, 653
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• GCD of 73, 675, 177, 139

1. What is the GCD of 60, 345, 775, 634?

GCD of 60, 345, 775, 634 is 1

2. Where do I get the detailed procedure to find GCD of 60, 345, 775, 634?

You can find a detailed procedure to find GCD of 60, 345, 775, 634 on our page.

3. How to find GCD of 60, 345, 775, 634 on a calculator?

You can find the GCD of 60, 345, 775, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.