GCD of 977, 314, 558, 871 Calculator

Given Input numbers are 977, 314, 558, 871

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 977, 314, 558, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 314, 558, 871 is 1.

Therefore, GCD of numbers 977, 314, 558, 871 is 1

Given Input Data is 977, 314, 558, 871

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

Prime Factorization of 977 is 977

Prime Factorization of 314 is 2 x 157

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 871 is 13 x 67

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, 314) = 306778

GCD(977, 314) = ( 977 x 314 ) / 306778

GCD(977, 314) = 306778 / 306778

GCD(977, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 977, 314, 558, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 613, 313, 376
• GCD of 779, 412, 580, 150
• GCD of 208, 329, 591, 149
• GCD of 372, 869, 316, 639
• GCD of 176, 490, 417, 196

1. What is the GCD of 977, 314, 558, 871?

GCD of 977, 314, 558, 871 is 1

2. Where do I get the detailed procedure to find GCD of 977, 314, 558, 871?

You can find a detailed procedure to find GCD of 977, 314, 558, 871 on our page.

3. How to find GCD of 977, 314, 558, 871 on a calculator?

You can find the GCD of 977, 314, 558, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.