GCD of 280, 669, 142, 264 Calculator

Given Input numbers are 280, 669, 142, 264

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 669

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

1, 3, 223, 669

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 280, 669, 142, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 669, 142, 264 is 1.

Therefore, GCD of numbers 280, 669, 142, 264 is 1

Given Input Data is 280, 669, 142, 264

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 669 is 3 x 223

Prime Factorization of 142 is 2 x 71

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(280, 669) = 187320

GCD(280, 669) = ( 280 x 669 ) / 187320

GCD(280, 669) = 187320 / 187320

GCD(280, 669) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 280, 669, 142, 264 is 1

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1. What is the GCD of 280, 669, 142, 264?

GCD of 280, 669, 142, 264 is 1

2. Where do I get the detailed procedure to find GCD of 280, 669, 142, 264?

You can find a detailed procedure to find GCD of 280, 669, 142, 264 on our page.

3. How to find GCD of 280, 669, 142, 264 on a calculator?

You can find the GCD of 280, 669, 142, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.