GCD of 854, 546, 416, 139 Calculator

Given Input numbers are 854, 546, 416, 139

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 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 854, 546, 416, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 546, 416, 139 is 1.

Therefore, GCD of numbers 854, 546, 416, 139 is 1

Given Input Data is 854, 546, 416, 139

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 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 139 is 139

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 416

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

LCM(14, 416) = 2912

GCD(14, 416) = ( 14 x 416 ) / 2912

GCD(14, 416) = 5824 / 2912

GCD(14, 416) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 139

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

LCM(2, 139) = 278

GCD(2, 139) = ( 2 x 139 ) / 278

GCD(2, 139) = 278 / 278

GCD(2, 139) = 1

GCD of 854, 546, 416, 139 is 1

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1. What is the GCD of 854, 546, 416, 139?

GCD of 854, 546, 416, 139 is 1

2. Where do I get the detailed procedure to find GCD of 854, 546, 416, 139?

You can find a detailed procedure to find GCD of 854, 546, 416, 139 on our page.

3. How to find GCD of 854, 546, 416, 139 on a calculator?

You can find the GCD of 854, 546, 416, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.