GCD of 475, 749, 953, 617 Calculator

Given Input numbers are 475, 749, 953, 617

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 475, 749, 953, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 749, 953, 617 is 1.

Therefore, GCD of numbers 475, 749, 953, 617 is 1

Given Input Data is 475, 749, 953, 617

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 749 is 7 x 107

Prime Factorization of 953 is 953

Prime Factorization of 617 is 617

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(475, 749) = 355775

GCD(475, 749) = ( 475 x 749 ) / 355775

GCD(475, 749) = 355775 / 355775

GCD(475, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 475, 749, 953, 617 is 1

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1. What is the GCD of 475, 749, 953, 617?

GCD of 475, 749, 953, 617 is 1

2. Where do I get the detailed procedure to find GCD of 475, 749, 953, 617?

You can find a detailed procedure to find GCD of 475, 749, 953, 617 on our page.

3. How to find GCD of 475, 749, 953, 617 on a calculator?

You can find the GCD of 475, 749, 953, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.