GCD of 880, 669, 16, 374 Calculator

Given Input numbers are 880, 669, 16, 374

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 669

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

1, 3, 223, 669

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 880, 669, 16, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 669, 16, 374 is 1.

Therefore, GCD of numbers 880, 669, 16, 374 is 1

Given Input Data is 880, 669, 16, 374

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 669 is 3 x 223

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 374 is 2 x 11 x 17

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(880, 669) = 588720

GCD(880, 669) = ( 880 x 669 ) / 588720

GCD(880, 669) = 588720 / 588720

GCD(880, 669) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 880, 669, 16, 374 is 1

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1. What is the GCD of 880, 669, 16, 374?

GCD of 880, 669, 16, 374 is 1

2. Where do I get the detailed procedure to find GCD of 880, 669, 16, 374?

You can find a detailed procedure to find GCD of 880, 669, 16, 374 on our page.

3. How to find GCD of 880, 669, 16, 374 on a calculator?

You can find the GCD of 880, 669, 16, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.