GCD of 76, 123, 879, 414 Calculator

Given Input numbers are 76, 123, 879, 414

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 76, 123, 879, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 123, 879, 414 is 1.

Therefore, GCD of numbers 76, 123, 879, 414 is 1

Given Input Data is 76, 123, 879, 414

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 123 is 3 x 41

Prime Factorization of 879 is 3 x 293

Prime Factorization of 414 is 2 x 3 x 3 x 23

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, 123) = 9348

GCD(76, 123) = ( 76 x 123 ) / 9348

GCD(76, 123) = 9348 / 9348

GCD(76, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 879

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

LCM(1, 879) = 879

GCD(1, 879) = ( 1 x 879 ) / 879

GCD(1, 879) = 879 / 879

GCD(1, 879) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 76, 123, 879, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 740, 543, 179
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• GCD of 43, 750, 739, 101
• GCD of 59, 234, 693, 266
• GCD of 38, 680, 698, 855

1. What is the GCD of 76, 123, 879, 414?

GCD of 76, 123, 879, 414 is 1

2. Where do I get the detailed procedure to find GCD of 76, 123, 879, 414?

You can find a detailed procedure to find GCD of 76, 123, 879, 414 on our page.

3. How to find GCD of 76, 123, 879, 414 on a calculator?

You can find the GCD of 76, 123, 879, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.