GCD of 854, 546, 419, 362 Calculator

Given Input numbers are 854, 546, 419, 362

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 854, 546, 419, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 546, 419, 362 is 1.

Therefore, GCD of numbers 854, 546, 419, 362 is 1

Given Input Data is 854, 546, 419, 362

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 419 is 419

Prime Factorization of 362 is 2 x 181

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(854, 546) = 33306

GCD(854, 546) = ( 854 x 546 ) / 33306

GCD(854, 546) = 466284 / 33306

GCD(854, 546) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 419

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

LCM(14, 419) = 5866

GCD(14, 419) = ( 14 x 419 ) / 5866

GCD(14, 419) = 5866 / 5866

GCD(14, 419) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 854, 546, 419, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 337, 751, 411
• GCD of 594, 945, 818, 297
• GCD of 298, 331, 310, 753
• GCD of 467, 471, 701, 427
• GCD of 530, 346, 146, 595

1. What is the GCD of 854, 546, 419, 362?

GCD of 854, 546, 419, 362 is 1

2. Where do I get the detailed procedure to find GCD of 854, 546, 419, 362?

You can find a detailed procedure to find GCD of 854, 546, 419, 362 on our page.

3. How to find GCD of 854, 546, 419, 362 on a calculator?

You can find the GCD of 854, 546, 419, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.