GCD of 375, 257, 708, 976 Calculator

Given Input numbers are 375, 257, 708, 976

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 375, 257, 708, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 257, 708, 976 is 1.

Therefore, GCD of numbers 375, 257, 708, 976 is 1

Given Input Data is 375, 257, 708, 976

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 257 is 257

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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(375, 257) = 96375

GCD(375, 257) = ( 375 x 257 ) / 96375

GCD(375, 257) = 96375 / 96375

GCD(375, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

GCD of 375, 257, 708, 976 is 1

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1. What is the GCD of 375, 257, 708, 976?

GCD of 375, 257, 708, 976 is 1

2. Where do I get the detailed procedure to find GCD of 375, 257, 708, 976?

You can find a detailed procedure to find GCD of 375, 257, 708, 976 on our page.

3. How to find GCD of 375, 257, 708, 976 on a calculator?

You can find the GCD of 375, 257, 708, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.