GCD of 400, 860, 153, 145 Calculator

Given Input numbers are 400, 860, 153, 145

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 400, 860, 153, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 860, 153, 145 is 1.

Therefore, GCD of numbers 400, 860, 153, 145 is 1

Given Input Data is 400, 860, 153, 145

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 145 is 5 x 29

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(400, 860) = 17200

GCD(400, 860) = ( 400 x 860 ) / 17200

GCD(400, 860) = 344000 / 17200

GCD(400, 860) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 153

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

LCM(20, 153) = 3060

GCD(20, 153) = ( 20 x 153 ) / 3060

GCD(20, 153) = 3060 / 3060

GCD(20, 153) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 400, 860, 153, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 675, 656, 399
• GCD of 860, 136, 729, 400
• GCD of 148, 892, 325, 632
• GCD of 226, 905, 732, 498
• GCD of 165, 826, 483, 733

1. What is the GCD of 400, 860, 153, 145?

GCD of 400, 860, 153, 145 is 1

2. Where do I get the detailed procedure to find GCD of 400, 860, 153, 145?

You can find a detailed procedure to find GCD of 400, 860, 153, 145 on our page.

3. How to find GCD of 400, 860, 153, 145 on a calculator?

You can find the GCD of 400, 860, 153, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.