GCD of 373, 546, 74, 969 Calculator

Given Input numbers are 373, 546, 74, 969

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

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 373, 546, 74, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 373, 546, 74, 969 is 1.

Therefore, GCD of numbers 373, 546, 74, 969 is 1

Given Input Data is 373, 546, 74, 969

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

Prime Factorization of 373 is 373

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 969 is 3 x 17 x 19

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(373, 546) = 203658

GCD(373, 546) = ( 373 x 546 ) / 203658

GCD(373, 546) = 203658 / 203658

GCD(373, 546) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 373, 546, 74, 969 is 1

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1. What is the GCD of 373, 546, 74, 969?

GCD of 373, 546, 74, 969 is 1

2. Where do I get the detailed procedure to find GCD of 373, 546, 74, 969?

You can find a detailed procedure to find GCD of 373, 546, 74, 969 on our page.

3. How to find GCD of 373, 546, 74, 969 on a calculator?

You can find the GCD of 373, 546, 74, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.