GCD of 614, 825, 955, 546 Calculator

Given Input numbers are 614, 825, 955, 546

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

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

Greatest Common Divisior

We found the divisors of 614, 825, 955, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 825, 955, 546 is 1.

Therefore, GCD of numbers 614, 825, 955, 546 is 1

Given Input Data is 614, 825, 955, 546

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 955 is 5 x 191

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

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(614, 825) = 506550

GCD(614, 825) = ( 614 x 825 ) / 506550

GCD(614, 825) = 506550 / 506550

GCD(614, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 614, 825, 955, 546 is 1

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• GCD of 694, 313, 441, 384
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• GCD of 397, 993, 751, 948

1. What is the GCD of 614, 825, 955, 546?

GCD of 614, 825, 955, 546 is 1

2. Where do I get the detailed procedure to find GCD of 614, 825, 955, 546?

You can find a detailed procedure to find GCD of 614, 825, 955, 546 on our page.

3. How to find GCD of 614, 825, 955, 546 on a calculator?

You can find the GCD of 614, 825, 955, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.