GCD of 69, 458, 842, 920 Calculator

Given Input numbers are 69, 458, 842, 920

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

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 69, 458, 842, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 458, 842, 920 is 1.

Therefore, GCD of numbers 69, 458, 842, 920 is 1

Given Input Data is 69, 458, 842, 920

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 458 is 2 x 229

Prime Factorization of 842 is 2 x 421

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(69, 458) = 31602

GCD(69, 458) = ( 69 x 458 ) / 31602

GCD(69, 458) = 31602 / 31602

GCD(69, 458) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 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 69, 458, 842, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 486, 716, 391
• GCD of 22, 800, 597, 474
• GCD of 58, 368, 468, 330
• GCD of 69, 591, 219, 361
• GCD of 42, 571, 349, 685

1. What is the GCD of 69, 458, 842, 920?

GCD of 69, 458, 842, 920 is 1

2. Where do I get the detailed procedure to find GCD of 69, 458, 842, 920?

You can find a detailed procedure to find GCD of 69, 458, 842, 920 on our page.

3. How to find GCD of 69, 458, 842, 920 on a calculator?

You can find the GCD of 69, 458, 842, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.