GCD of 101, 277, 32, 800 Calculator

Given Input numbers are 101, 277, 32, 800

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 32

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

1, 2, 4, 8, 16, 32

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

Greatest Common Divisior

We found the divisors of 101, 277, 32, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 277, 32, 800 is 1.

Therefore, GCD of numbers 101, 277, 32, 800 is 1

Given Input Data is 101, 277, 32, 800

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

Prime Factorization of 101 is 101

Prime Factorization of 277 is 277

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

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

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(101, 277) = 27977

GCD(101, 277) = ( 101 x 277 ) / 27977

GCD(101, 277) = 27977 / 27977

GCD(101, 277) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

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

GCD of 101, 277, 32, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 416, 80, 653
• GCD of 328, 783, 98, 554
• GCD of 300, 253, 29, 990
• GCD of 333, 845, 47, 317
• GCD of 151, 886, 13, 217

1. What is the GCD of 101, 277, 32, 800?

GCD of 101, 277, 32, 800 is 1

2. Where do I get the detailed procedure to find GCD of 101, 277, 32, 800?

You can find a detailed procedure to find GCD of 101, 277, 32, 800 on our page.

3. How to find GCD of 101, 277, 32, 800 on a calculator?

You can find the GCD of 101, 277, 32, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.