GCD of 307, 768, 97, 977 Calculator

Given Input numbers are 307, 768, 97, 977

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 307, 768, 97, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 768, 97, 977 is 1.

Therefore, GCD of numbers 307, 768, 97, 977 is 1

Given Input Data is 307, 768, 97, 977

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

Prime Factorization of 307 is 307

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 97 is 97

Prime Factorization of 977 is 977

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(307, 768) = 235776

GCD(307, 768) = ( 307 x 768 ) / 235776

GCD(307, 768) = 235776 / 235776

GCD(307, 768) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 307, 768, 97, 977 is 1

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1. What is the GCD of 307, 768, 97, 977?

GCD of 307, 768, 97, 977 is 1

2. Where do I get the detailed procedure to find GCD of 307, 768, 97, 977?

You can find a detailed procedure to find GCD of 307, 768, 97, 977 on our page.

3. How to find GCD of 307, 768, 97, 977 on a calculator?

You can find the GCD of 307, 768, 97, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.