GCD of 150, 249, 700, 653 Calculator

Given Input numbers are 150, 249, 700, 653

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 150, 249, 700, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 249, 700, 653 is 1.

Therefore, GCD of numbers 150, 249, 700, 653 is 1

Given Input Data is 150, 249, 700, 653

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 249 is 3 x 83

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 653 is 653

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(150, 249) = 12450

GCD(150, 249) = ( 150 x 249 ) / 12450

GCD(150, 249) = 37350 / 12450

GCD(150, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 700

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

LCM(3, 700) = 2100

GCD(3, 700) = ( 3 x 700 ) / 2100

GCD(3, 700) = 2100 / 2100

GCD(3, 700) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 150, 249, 700, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 981, 742, 282
• GCD of 757, 596, 152, 249
• GCD of 460, 752, 167, 536
• GCD of 395, 169, 491, 564
• GCD of 174, 871, 986, 357

1. What is the GCD of 150, 249, 700, 653?

GCD of 150, 249, 700, 653 is 1

2. Where do I get the detailed procedure to find GCD of 150, 249, 700, 653?

You can find a detailed procedure to find GCD of 150, 249, 700, 653 on our page.

3. How to find GCD of 150, 249, 700, 653 on a calculator?

You can find the GCD of 150, 249, 700, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.