GCD of 75, 755, 675, 553 Calculator

Given Input numbers are 75, 755, 675, 553

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 75, 755, 675, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 755, 675, 553 is 1.

Therefore, GCD of numbers 75, 755, 675, 553 is 1

Given Input Data is 75, 755, 675, 553

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 755 is 5 x 151

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 553 is 7 x 79

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(75, 755) = 11325

GCD(75, 755) = ( 75 x 755 ) / 11325

GCD(75, 755) = 56625 / 11325

GCD(75, 755) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 675

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

LCM(5, 675) = 675

GCD(5, 675) = ( 5 x 675 ) / 675

GCD(5, 675) = 3375 / 675

GCD(5, 675) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 553

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

LCM(5, 553) = 2765

GCD(5, 553) = ( 5 x 553 ) / 2765

GCD(5, 553) = 2765 / 2765

GCD(5, 553) = 1

GCD of 75, 755, 675, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 543, 952, 926
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1. What is the GCD of 75, 755, 675, 553?

GCD of 75, 755, 675, 553 is 1

2. Where do I get the detailed procedure to find GCD of 75, 755, 675, 553?

You can find a detailed procedure to find GCD of 75, 755, 675, 553 on our page.

3. How to find GCD of 75, 755, 675, 553 on a calculator?

You can find the GCD of 75, 755, 675, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.