GCD of 462, 541, 169, 108 Calculator

Given Input numbers are 462, 541, 169, 108

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 462, 541, 169, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 541, 169, 108 is 1.

Therefore, GCD of numbers 462, 541, 169, 108 is 1

Given Input Data is 462, 541, 169, 108

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 541 is 541

Prime Factorization of 169 is 13 x 13

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(462, 541) = 249942

GCD(462, 541) = ( 462 x 541 ) / 249942

GCD(462, 541) = 249942 / 249942

GCD(462, 541) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 462, 541, 169, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 115, 267, 905
• GCD of 966, 271, 802, 464
• GCD of 206, 192, 639, 925
• GCD of 636, 403, 294, 522
• GCD of 795, 605, 432, 580

1. What is the GCD of 462, 541, 169, 108?

GCD of 462, 541, 169, 108 is 1

2. Where do I get the detailed procedure to find GCD of 462, 541, 169, 108?

You can find a detailed procedure to find GCD of 462, 541, 169, 108 on our page.

3. How to find GCD of 462, 541, 169, 108 on a calculator?

You can find the GCD of 462, 541, 169, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.