GCD of 28, 75, 70, 54 Calculator

Given Input numbers are 28, 75, 70, 54

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Greatest Common Divisior

We found the divisors of 28, 75, 70, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 75, 70, 54 is 1.

Therefore, GCD of numbers 28, 75, 70, 54 is 1

Given Input Data is 28, 75, 70, 54

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 54 is 2 x 3 x 3 x 3

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(28, 75) = 2100

GCD(28, 75) = ( 28 x 75 ) / 2100

GCD(28, 75) = 2100 / 2100

GCD(28, 75) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

GCD of 28, 75, 70, 54 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 45, 73, 92
• GCD of 89, 77, 83, 72
• GCD of 45, 17, 42, 22
• GCD of 66, 35, 51, 11
• GCD of 73, 31, 12, 89

1. What is the GCD of 28, 75, 70, 54?

GCD of 28, 75, 70, 54 is 1

2. Where do I get the detailed procedure to find GCD of 28, 75, 70, 54?

You can find a detailed procedure to find GCD of 28, 75, 70, 54 on our page.

3. How to find GCD of 28, 75, 70, 54 on a calculator?

You can find the GCD of 28, 75, 70, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.