GCD of 875, 538, 58, 308 Calculator

Given Input numbers are 875, 538, 58, 308

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

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 875, 538, 58, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 538, 58, 308 is 1.

Therefore, GCD of numbers 875, 538, 58, 308 is 1

Given Input Data is 875, 538, 58, 308

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 538 is 2 x 269

Prime Factorization of 58 is 2 x 29

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(875, 538) = 470750

GCD(875, 538) = ( 875 x 538 ) / 470750

GCD(875, 538) = 470750 / 470750

GCD(875, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 875, 538, 58, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 511, 38, 616
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• GCD of 759, 540, 17, 535
• GCD of 407, 138, 42, 253
• GCD of 272, 914, 87, 680

1. What is the GCD of 875, 538, 58, 308?

GCD of 875, 538, 58, 308 is 1

2. Where do I get the detailed procedure to find GCD of 875, 538, 58, 308?

You can find a detailed procedure to find GCD of 875, 538, 58, 308 on our page.

3. How to find GCD of 875, 538, 58, 308 on a calculator?

You can find the GCD of 875, 538, 58, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.