GCD of 505, 847, 921, 103 Calculator

Given Input numbers are 505, 847, 921, 103

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 921

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

1, 3, 307, 921

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 505, 847, 921, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 847, 921, 103 is 1.

Therefore, GCD of numbers 505, 847, 921, 103 is 1

Given Input Data is 505, 847, 921, 103

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 921 is 3 x 307

Prime Factorization of 103 is 103

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(505, 847) = 427735

GCD(505, 847) = ( 505 x 847 ) / 427735

GCD(505, 847) = 427735 / 427735

GCD(505, 847) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 505, 847, 921, 103 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 435, 783, 930
• GCD of 653, 710, 672, 672
• GCD of 617, 381, 896, 213
• GCD of 916, 446, 819, 340
• GCD of 504, 745, 717, 103

1. What is the GCD of 505, 847, 921, 103?

GCD of 505, 847, 921, 103 is 1

2. Where do I get the detailed procedure to find GCD of 505, 847, 921, 103?

You can find a detailed procedure to find GCD of 505, 847, 921, 103 on our page.

3. How to find GCD of 505, 847, 921, 103 on a calculator?

You can find the GCD of 505, 847, 921, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.