GCD of 77, 436, 972, 305 Calculator

Given Input numbers are 77, 436, 972, 305

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 77, 436, 972, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 436, 972, 305 is 1.

Therefore, GCD of numbers 77, 436, 972, 305 is 1

Given Input Data is 77, 436, 972, 305

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 436 is 2 x 2 x 109

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

Prime Factorization of 305 is 5 x 61

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(77, 436) = 33572

GCD(77, 436) = ( 77 x 436 ) / 33572

GCD(77, 436) = 33572 / 33572

GCD(77, 436) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 77, 436, 972, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 501, 593, 383
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• GCD of 38, 174, 656, 956

1. What is the GCD of 77, 436, 972, 305?

GCD of 77, 436, 972, 305 is 1

2. Where do I get the detailed procedure to find GCD of 77, 436, 972, 305?

You can find a detailed procedure to find GCD of 77, 436, 972, 305 on our page.

3. How to find GCD of 77, 436, 972, 305 on a calculator?

You can find the GCD of 77, 436, 972, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.