GCD of 977, 758, 15, 824 Calculator

Given Input numbers are 977, 758, 15, 824

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

Divisors of 977

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

1, 977

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 977, 758, 15, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 758, 15, 824 is 1.

Therefore, GCD of numbers 977, 758, 15, 824 is 1

Given Input Data is 977, 758, 15, 824

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

Prime Factorization of 977 is 977

Prime Factorization of 758 is 2 x 379

Prime Factorization of 15 is 3 x 5

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(977, 758) = 740566

GCD(977, 758) = ( 977 x 758 ) / 740566

GCD(977, 758) = 740566 / 740566

GCD(977, 758) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 977, 758, 15, 824 is 1

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1. What is the GCD of 977, 758, 15, 824?

GCD of 977, 758, 15, 824 is 1

2. Where do I get the detailed procedure to find GCD of 977, 758, 15, 824?

You can find a detailed procedure to find GCD of 977, 758, 15, 824 on our page.

3. How to find GCD of 977, 758, 15, 824 on a calculator?

You can find the GCD of 977, 758, 15, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.