GCD of 157, 122, 800, 381 Calculator

Given Input numbers are 157, 122, 800, 381

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

Divisors of 157

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

1, 157

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 157, 122, 800, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 122, 800, 381 is 1.

Therefore, GCD of numbers 157, 122, 800, 381 is 1

Given Input Data is 157, 122, 800, 381

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

Prime Factorization of 157 is 157

Prime Factorization of 122 is 2 x 61

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 381 is 3 x 127

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(157, 122) = 19154

GCD(157, 122) = ( 157 x 122 ) / 19154

GCD(157, 122) = 19154 / 19154

GCD(157, 122) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 157, 122, 800, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 409, 431, 101
• GCD of 181, 376, 171, 983
• GCD of 145, 171, 850, 429
• GCD of 394, 509, 159, 969
• GCD of 109, 127, 974, 797

1. What is the GCD of 157, 122, 800, 381?

GCD of 157, 122, 800, 381 is 1

2. Where do I get the detailed procedure to find GCD of 157, 122, 800, 381?

You can find a detailed procedure to find GCD of 157, 122, 800, 381 on our page.

3. How to find GCD of 157, 122, 800, 381 on a calculator?

You can find the GCD of 157, 122, 800, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.