GCD of 76, 178, 491, 600 Calculator

Given Input numbers are 76, 178, 491, 600

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 76, 178, 491, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 178, 491, 600 is 1.

Therefore, GCD of numbers 76, 178, 491, 600 is 1

Given Input Data is 76, 178, 491, 600

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 178 is 2 x 89

Prime Factorization of 491 is 491

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(76, 178) = 6764

GCD(76, 178) = ( 76 x 178 ) / 6764

GCD(76, 178) = 13528 / 6764

GCD(76, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 491

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

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

GCD(2, 491) = 982 / 982

GCD(2, 491) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 76, 178, 491, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 216, 386, 574
• GCD of 91, 212, 915, 469
• GCD of 74, 163, 998, 270
• GCD of 35, 443, 592, 664
• GCD of 47, 914, 266, 756

1. What is the GCD of 76, 178, 491, 600?

GCD of 76, 178, 491, 600 is 1

2. Where do I get the detailed procedure to find GCD of 76, 178, 491, 600?

You can find a detailed procedure to find GCD of 76, 178, 491, 600 on our page.

3. How to find GCD of 76, 178, 491, 600 on a calculator?

You can find the GCD of 76, 178, 491, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.