GCD of 669, 384, 126, 954 Calculator

Given Input numbers are 669, 384, 126, 954

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

Divisors of 669

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

1, 3, 223, 669

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 669, 384, 126, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 384, 126, 954 is 3.

Therefore, GCD of numbers 669, 384, 126, 954 is 3

Given Input Data is 669, 384, 126, 954

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

Prime Factorization of 669 is 3 x 223

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 954 is 2 x 3 x 3 x 53

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(669, 384) = 85632

GCD(669, 384) = ( 669 x 384 ) / 85632

GCD(669, 384) = 256896 / 85632

GCD(669, 384) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 126

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

LCM(3, 126) = 126

GCD(3, 126) = ( 3 x 126 ) / 126

GCD(3, 126) = 378 / 126

GCD(3, 126) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 954

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

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

GCD(3, 954) = 2862 / 954

GCD(3, 954) = 3

GCD of 669, 384, 126, 954 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 397, 412, 842
• GCD of 560, 850, 983, 151
• GCD of 397, 572, 689, 709
• GCD of 953, 249, 754, 287
• GCD of 902, 416, 936, 755

1. What is the GCD of 669, 384, 126, 954?

GCD of 669, 384, 126, 954 is 3

2. Where do I get the detailed procedure to find GCD of 669, 384, 126, 954?

You can find a detailed procedure to find GCD of 669, 384, 126, 954 on our page.

3. How to find GCD of 669, 384, 126, 954 on a calculator?

You can find the GCD of 669, 384, 126, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.