GCD of 356, 921, 277, 800 Calculator

Given Input numbers are 356, 921, 277, 800

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 277

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

1, 277

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 356, 921, 277, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 921, 277, 800 is 1.

Therefore, GCD of numbers 356, 921, 277, 800 is 1

Given Input Data is 356, 921, 277, 800

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 921 is 3 x 307

Prime Factorization of 277 is 277

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(356, 921) = 327876

GCD(356, 921) = ( 356 x 921 ) / 327876

GCD(356, 921) = 327876 / 327876

GCD(356, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 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 356, 921, 277, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 694, 519, 117
• GCD of 863, 931, 197, 694
• GCD of 127, 156, 987, 460
• GCD of 768, 128, 418, 594
• GCD of 502, 724, 986, 557

1. What is the GCD of 356, 921, 277, 800?

GCD of 356, 921, 277, 800 is 1

2. Where do I get the detailed procedure to find GCD of 356, 921, 277, 800?

You can find a detailed procedure to find GCD of 356, 921, 277, 800 on our page.

3. How to find GCD of 356, 921, 277, 800 on a calculator?

You can find the GCD of 356, 921, 277, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.