GCD of 664, 971, 49, 775 Calculator

Given Input numbers are 664, 971, 49, 775

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 775

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

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 664, 971, 49, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 971, 49, 775 is 1.

Therefore, GCD of numbers 664, 971, 49, 775 is 1

Given Input Data is 664, 971, 49, 775

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 971 is 971

Prime Factorization of 49 is 7 x 7

Prime Factorization of 775 is 5 x 5 x 31

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(664, 971) = 644744

GCD(664, 971) = ( 664 x 971 ) / 644744

GCD(664, 971) = 644744 / 644744

GCD(664, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 664, 971, 49, 775 is 1

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1. What is the GCD of 664, 971, 49, 775?

GCD of 664, 971, 49, 775 is 1

2. Where do I get the detailed procedure to find GCD of 664, 971, 49, 775?

You can find a detailed procedure to find GCD of 664, 971, 49, 775 on our page.

3. How to find GCD of 664, 971, 49, 775 on a calculator?

You can find the GCD of 664, 971, 49, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.