GCD of 144, 175, 75, 102 Calculator

Given Input numbers are 144, 175, 75, 102

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 144, 175, 75, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 175, 75, 102 is 1.

Therefore, GCD of numbers 144, 175, 75, 102 is 1

Given Input Data is 144, 175, 75, 102

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 102 is 2 x 3 x 17

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(144, 175) = 25200

GCD(144, 175) = ( 144 x 175 ) / 25200

GCD(144, 175) = 25200 / 25200

GCD(144, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 144, 175, 75, 102 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 709, 81, 470
• GCD of 727, 593, 36, 543
• GCD of 177, 682, 62, 848
• GCD of 480, 859, 98, 498
• GCD of 704, 805, 68, 454

1. What is the GCD of 144, 175, 75, 102?

GCD of 144, 175, 75, 102 is 1

2. Where do I get the detailed procedure to find GCD of 144, 175, 75, 102?

You can find a detailed procedure to find GCD of 144, 175, 75, 102 on our page.

3. How to find GCD of 144, 175, 75, 102 on a calculator?

You can find the GCD of 144, 175, 75, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.