GCD of 546, 392, 970, 853 Calculator

Given Input numbers are 546, 392, 970, 853

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

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 546, 392, 970, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 392, 970, 853 is 1.

Therefore, GCD of numbers 546, 392, 970, 853 is 1

Given Input Data is 546, 392, 970, 853

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

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 853 is 853

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(546, 392) = 15288

GCD(546, 392) = ( 546 x 392 ) / 15288

GCD(546, 392) = 214032 / 15288

GCD(546, 392) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 970

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

LCM(14, 970) = 6790

GCD(14, 970) = ( 14 x 970 ) / 6790

GCD(14, 970) = 13580 / 6790

GCD(14, 970) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 853

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

LCM(2, 853) = 1706

GCD(2, 853) = ( 2 x 853 ) / 1706

GCD(2, 853) = 1706 / 1706

GCD(2, 853) = 1

GCD of 546, 392, 970, 853 is 1

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• GCD of 112, 103, 540, 858

1. What is the GCD of 546, 392, 970, 853?

GCD of 546, 392, 970, 853 is 1

2. Where do I get the detailed procedure to find GCD of 546, 392, 970, 853?

You can find a detailed procedure to find GCD of 546, 392, 970, 853 on our page.

3. How to find GCD of 546, 392, 970, 853 on a calculator?

You can find the GCD of 546, 392, 970, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.