GCD of 180, 148, 36, 705 Calculator

Given Input numbers are 180, 148, 36, 705

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 180, 148, 36, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 148, 36, 705 is 1.

Therefore, GCD of numbers 180, 148, 36, 705 is 1

Given Input Data is 180, 148, 36, 705

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 705 is 3 x 5 x 47

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(180, 148) = 6660

GCD(180, 148) = ( 180 x 148 ) / 6660

GCD(180, 148) = 26640 / 6660

GCD(180, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 36

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

LCM(4, 36) = 36

GCD(4, 36) = ( 4 x 36 ) / 36

GCD(4, 36) = 144 / 36

GCD(4, 36) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 705

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

LCM(4, 705) = 2820

GCD(4, 705) = ( 4 x 705 ) / 2820

GCD(4, 705) = 2820 / 2820

GCD(4, 705) = 1

GCD of 180, 148, 36, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 913, 10, 202
• GCD of 412, 102, 78, 962
• GCD of 215, 636, 15, 427
• GCD of 555, 269, 34, 843
• GCD of 253, 777, 87, 317

1. What is the GCD of 180, 148, 36, 705?

GCD of 180, 148, 36, 705 is 1

2. Where do I get the detailed procedure to find GCD of 180, 148, 36, 705?

You can find a detailed procedure to find GCD of 180, 148, 36, 705 on our page.

3. How to find GCD of 180, 148, 36, 705 on a calculator?

You can find the GCD of 180, 148, 36, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.