GCD of 347, 507, 263, 966 Calculator

Given Input numbers are 347, 507, 263, 966

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

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 347, 507, 263, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 347, 507, 263, 966 is 1.

Therefore, GCD of numbers 347, 507, 263, 966 is 1

Given Input Data is 347, 507, 263, 966

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

Prime Factorization of 347 is 347

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 263 is 263

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(347, 507) = 175929

GCD(347, 507) = ( 347 x 507 ) / 175929

GCD(347, 507) = 175929 / 175929

GCD(347, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 263

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

LCM(1, 263) = 263

GCD(1, 263) = ( 1 x 263 ) / 263

GCD(1, 263) = 263 / 263

GCD(1, 263) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 347, 507, 263, 966 is 1

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1. What is the GCD of 347, 507, 263, 966?

GCD of 347, 507, 263, 966 is 1

2. Where do I get the detailed procedure to find GCD of 347, 507, 263, 966?

You can find a detailed procedure to find GCD of 347, 507, 263, 966 on our page.

3. How to find GCD of 347, 507, 263, 966 on a calculator?

You can find the GCD of 347, 507, 263, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.