GCD of 975, 714, 258, 851 Calculator

Given Input numbers are 975, 714, 258, 851

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 975, 714, 258, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 714, 258, 851 is 1.

Therefore, GCD of numbers 975, 714, 258, 851 is 1

Given Input Data is 975, 714, 258, 851

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 714 is 2 x 3 x 7 x 17

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 851 is 23 x 37

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, 714) = 232050

GCD(975, 714) = ( 975 x 714 ) / 232050

GCD(975, 714) = 696150 / 232050

GCD(975, 714) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 258

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

LCM(3, 258) = 258

GCD(3, 258) = ( 3 x 258 ) / 258

GCD(3, 258) = 774 / 258

GCD(3, 258) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 851

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

LCM(3, 851) = 2553

GCD(3, 851) = ( 3 x 851 ) / 2553

GCD(3, 851) = 2553 / 2553

GCD(3, 851) = 1

GCD of 975, 714, 258, 851 is 1

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1. What is the GCD of 975, 714, 258, 851?

GCD of 975, 714, 258, 851 is 1

2. Where do I get the detailed procedure to find GCD of 975, 714, 258, 851?

You can find a detailed procedure to find GCD of 975, 714, 258, 851 on our page.

3. How to find GCD of 975, 714, 258, 851 on a calculator?

You can find the GCD of 975, 714, 258, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.