GCD of 975, 658, 406, 705 Calculator

Given Input numbers are 975, 658, 406, 705

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 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 975, 658, 406, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 658, 406, 705 is 1.

Therefore, GCD of numbers 975, 658, 406, 705 is 1

Given Input Data is 975, 658, 406, 705

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 658 is 2 x 7 x 47

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 705 is 3 x 5 x 47

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, 658) = 641550

GCD(975, 658) = ( 975 x 658 ) / 641550

GCD(975, 658) = 641550 / 641550

GCD(975, 658) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 975, 658, 406, 705 is 1

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1. What is the GCD of 975, 658, 406, 705?

GCD of 975, 658, 406, 705 is 1

2. Where do I get the detailed procedure to find GCD of 975, 658, 406, 705?

You can find a detailed procedure to find GCD of 975, 658, 406, 705 on our page.

3. How to find GCD of 975, 658, 406, 705 on a calculator?

You can find the GCD of 975, 658, 406, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.