GCD of 122, 484, 705, 920 Calculator

Given Input numbers are 122, 484, 705, 920

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

Divisors of 122

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

1, 2, 61, 122

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 122, 484, 705, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 484, 705, 920 is 1.

Therefore, GCD of numbers 122, 484, 705, 920 is 1

Given Input Data is 122, 484, 705, 920

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(122, 484) = 29524

GCD(122, 484) = ( 122 x 484 ) / 29524

GCD(122, 484) = 59048 / 29524

GCD(122, 484) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 705

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

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

GCD(2, 705) = 1410 / 1410

GCD(2, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 122, 484, 705, 920 is 1

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1. What is the GCD of 122, 484, 705, 920?

GCD of 122, 484, 705, 920 is 1

2. Where do I get the detailed procedure to find GCD of 122, 484, 705, 920?

You can find a detailed procedure to find GCD of 122, 484, 705, 920 on our page.

3. How to find GCD of 122, 484, 705, 920 on a calculator?

You can find the GCD of 122, 484, 705, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.