GCD of 400, 985, 52, 156 Calculator

Given Input numbers are 400, 985, 52, 156

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 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 400, 985, 52, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 985, 52, 156 is 1.

Therefore, GCD of numbers 400, 985, 52, 156 is 1

Given Input Data is 400, 985, 52, 156

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 985 is 5 x 197

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 156 is 2 x 2 x 3 x 13

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, 985) = 78800

GCD(400, 985) = ( 400 x 985 ) / 78800

GCD(400, 985) = 394000 / 78800

GCD(400, 985) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 52

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

LCM(5, 52) = 260

GCD(5, 52) = ( 5 x 52 ) / 260

GCD(5, 52) = 260 / 260

GCD(5, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

GCD of 400, 985, 52, 156 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 759, 25, 931
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• GCD of 606, 179, 31, 578
• GCD of 507, 252, 63, 218

1. What is the GCD of 400, 985, 52, 156?

GCD of 400, 985, 52, 156 is 1

2. Where do I get the detailed procedure to find GCD of 400, 985, 52, 156?

You can find a detailed procedure to find GCD of 400, 985, 52, 156 on our page.

3. How to find GCD of 400, 985, 52, 156 on a calculator?

You can find the GCD of 400, 985, 52, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.