GCD of 972, 313, 455, 368 Calculator

Given Input numbers are 972, 313, 455, 368

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 972, 313, 455, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 313, 455, 368 is 1.

Therefore, GCD of numbers 972, 313, 455, 368 is 1

Given Input Data is 972, 313, 455, 368

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 313 is 313

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(972, 313) = 304236

GCD(972, 313) = ( 972 x 313 ) / 304236

GCD(972, 313) = 304236 / 304236

GCD(972, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 972, 313, 455, 368 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 671, 130, 604
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• GCD of 151, 456, 734, 105
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• GCD of 543, 173, 988, 387

1. What is the GCD of 972, 313, 455, 368?

GCD of 972, 313, 455, 368 is 1

2. Where do I get the detailed procedure to find GCD of 972, 313, 455, 368?

You can find a detailed procedure to find GCD of 972, 313, 455, 368 on our page.

3. How to find GCD of 972, 313, 455, 368 on a calculator?

You can find the GCD of 972, 313, 455, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.