GCD of 279, 669, 149, 516 Calculator

Given Input numbers are 279, 669, 149, 516

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 279, 669, 149, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 669, 149, 516 is 1.

Therefore, GCD of numbers 279, 669, 149, 516 is 1

Given Input Data is 279, 669, 149, 516

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 669 is 3 x 223

Prime Factorization of 149 is 149

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(279, 669) = 62217

GCD(279, 669) = ( 279 x 669 ) / 62217

GCD(279, 669) = 186651 / 62217

GCD(279, 669) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 149

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

LCM(3, 149) = 447

GCD(3, 149) = ( 3 x 149 ) / 447

GCD(3, 149) = 447 / 447

GCD(3, 149) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 279, 669, 149, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 951, 513, 808
• GCD of 147, 504, 746, 247
• GCD of 303, 708, 679, 123
• GCD of 448, 807, 821, 473
• GCD of 657, 144, 823, 411

1. What is the GCD of 279, 669, 149, 516?

GCD of 279, 669, 149, 516 is 1

2. Where do I get the detailed procedure to find GCD of 279, 669, 149, 516?

You can find a detailed procedure to find GCD of 279, 669, 149, 516 on our page.

3. How to find GCD of 279, 669, 149, 516 on a calculator?

You can find the GCD of 279, 669, 149, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.