GCD of 977, 714, 51, 367 Calculator

Given Input numbers are 977, 714, 51, 367

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 977, 714, 51, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 714, 51, 367 is 1.

Therefore, GCD of numbers 977, 714, 51, 367 is 1

Given Input Data is 977, 714, 51, 367

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

Prime Factorization of 977 is 977

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 51 is 3 x 17

Prime Factorization of 367 is 367

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, 714) = 697578

GCD(977, 714) = ( 977 x 714 ) / 697578

GCD(977, 714) = 697578 / 697578

GCD(977, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 977, 714, 51, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 788, 69, 831
• GCD of 221, 657, 17, 777
• GCD of 400, 170, 98, 782
• GCD of 538, 157, 25, 735
• GCD of 698, 465, 79, 647

1. What is the GCD of 977, 714, 51, 367?

GCD of 977, 714, 51, 367 is 1

2. Where do I get the detailed procedure to find GCD of 977, 714, 51, 367?

You can find a detailed procedure to find GCD of 977, 714, 51, 367 on our page.

3. How to find GCD of 977, 714, 51, 367 on a calculator?

You can find the GCD of 977, 714, 51, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.