GCD of 346, 648, 53, 991 Calculator

Given Input numbers are 346, 648, 53, 991

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 346, 648, 53, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 648, 53, 991 is 1.

Therefore, GCD of numbers 346, 648, 53, 991 is 1

Given Input Data is 346, 648, 53, 991

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 53 is 53

Prime Factorization of 991 is 991

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(346, 648) = 112104

GCD(346, 648) = ( 346 x 648 ) / 112104

GCD(346, 648) = 224208 / 112104

GCD(346, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 346, 648, 53, 991 is 1

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• GCD of 410, 364, 39, 389
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1. What is the GCD of 346, 648, 53, 991?

GCD of 346, 648, 53, 991 is 1

2. Where do I get the detailed procedure to find GCD of 346, 648, 53, 991?

You can find a detailed procedure to find GCD of 346, 648, 53, 991 on our page.

3. How to find GCD of 346, 648, 53, 991 on a calculator?

You can find the GCD of 346, 648, 53, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.