GCD of 32, 157, 400, 260 Calculator

Given Input numbers are 32, 157, 400, 260

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 32, 157, 400, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 157, 400, 260 is 1.

Therefore, GCD of numbers 32, 157, 400, 260 is 1

Given Input Data is 32, 157, 400, 260

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 157 is 157

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

Prime Factorization of 260 is 2 x 2 x 5 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(32, 157) = 5024

GCD(32, 157) = ( 32 x 157 ) / 5024

GCD(32, 157) = 5024 / 5024

GCD(32, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 32, 157, 400, 260 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 834, 606, 300
• GCD of 50, 677, 542, 617
• GCD of 44, 353, 691, 903
• GCD of 18, 840, 465, 811
• GCD of 50, 230, 417, 998

1. What is the GCD of 32, 157, 400, 260?

GCD of 32, 157, 400, 260 is 1

2. Where do I get the detailed procedure to find GCD of 32, 157, 400, 260?

You can find a detailed procedure to find GCD of 32, 157, 400, 260 on our page.

3. How to find GCD of 32, 157, 400, 260 on a calculator?

You can find the GCD of 32, 157, 400, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.