GCD of 750, 545, 86, 231 Calculator

Given Input numbers are 750, 545, 86, 231

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 750, 545, 86, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 545, 86, 231 is 1.

Therefore, GCD of numbers 750, 545, 86, 231 is 1

Given Input Data is 750, 545, 86, 231

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 545 is 5 x 109

Prime Factorization of 86 is 2 x 43

Prime Factorization of 231 is 3 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(750, 545) = 81750

GCD(750, 545) = ( 750 x 545 ) / 81750

GCD(750, 545) = 408750 / 81750

GCD(750, 545) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 86

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

LCM(5, 86) = 430

GCD(5, 86) = ( 5 x 86 ) / 430

GCD(5, 86) = 430 / 430

GCD(5, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 750, 545, 86, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 250, 43, 488
• GCD of 382, 651, 89, 297
• GCD of 497, 479, 63, 825
• GCD of 191, 774, 61, 468
• GCD of 355, 981, 54, 407

1. What is the GCD of 750, 545, 86, 231?

GCD of 750, 545, 86, 231 is 1

2. Where do I get the detailed procedure to find GCD of 750, 545, 86, 231?

You can find a detailed procedure to find GCD of 750, 545, 86, 231 on our page.

3. How to find GCD of 750, 545, 86, 231 on a calculator?

You can find the GCD of 750, 545, 86, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.