GCD of 400, 118, 65, 155 Calculator

Given Input numbers are 400, 118, 65, 155

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Greatest Common Divisior

We found the divisors of 400, 118, 65, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 118, 65, 155 is 1.

Therefore, GCD of numbers 400, 118, 65, 155 is 1

Given Input Data is 400, 118, 65, 155

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 118 is 2 x 59

Prime Factorization of 65 is 5 x 13

Prime Factorization of 155 is 5 x 31

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, 118) = 23600

GCD(400, 118) = ( 400 x 118 ) / 23600

GCD(400, 118) = 47200 / 23600

GCD(400, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 155

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

LCM(1, 155) = 155

GCD(1, 155) = ( 1 x 155 ) / 155

GCD(1, 155) = 155 / 155

GCD(1, 155) = 1

GCD of 400, 118, 65, 155 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 657, 51, 983
• GCD of 537, 147, 49, 940
• GCD of 830, 920, 65, 972
• GCD of 789, 393, 32, 523
• GCD of 126, 708, 43, 565

1. What is the GCD of 400, 118, 65, 155?

GCD of 400, 118, 65, 155 is 1

2. Where do I get the detailed procedure to find GCD of 400, 118, 65, 155?

You can find a detailed procedure to find GCD of 400, 118, 65, 155 on our page.

3. How to find GCD of 400, 118, 65, 155 on a calculator?

You can find the GCD of 400, 118, 65, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.