GCD of 975, 704, 301, 494 Calculator

Given Input numbers are 975, 704, 301, 494

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 975, 704, 301, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 704, 301, 494 is 1.

Therefore, GCD of numbers 975, 704, 301, 494 is 1

Given Input Data is 975, 704, 301, 494

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 301 is 7 x 43

Prime Factorization of 494 is 2 x 13 x 19

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(975, 704) = 686400

GCD(975, 704) = ( 975 x 704 ) / 686400

GCD(975, 704) = 686400 / 686400

GCD(975, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 975, 704, 301, 494 is 1

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1. What is the GCD of 975, 704, 301, 494?

GCD of 975, 704, 301, 494 is 1

2. Where do I get the detailed procedure to find GCD of 975, 704, 301, 494?

You can find a detailed procedure to find GCD of 975, 704, 301, 494 on our page.

3. How to find GCD of 975, 704, 301, 494 on a calculator?

You can find the GCD of 975, 704, 301, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.