GCD of 669, 362, 55, 688 Calculator

Given Input numbers are 669, 362, 55, 688

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 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 669, 362, 55, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 362, 55, 688 is 1.

Therefore, GCD of numbers 669, 362, 55, 688 is 1

Given Input Data is 669, 362, 55, 688

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

Prime Factorization of 669 is 3 x 223

Prime Factorization of 362 is 2 x 181

Prime Factorization of 55 is 5 x 11

Prime Factorization of 688 is 2 x 2 x 2 x 2 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(669, 362) = 242178

GCD(669, 362) = ( 669 x 362 ) / 242178

GCD(669, 362) = 242178 / 242178

GCD(669, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 669, 362, 55, 688 is 1

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1. What is the GCD of 669, 362, 55, 688?

GCD of 669, 362, 55, 688 is 1

2. Where do I get the detailed procedure to find GCD of 669, 362, 55, 688?

You can find a detailed procedure to find GCD of 669, 362, 55, 688 on our page.

3. How to find GCD of 669, 362, 55, 688 on a calculator?

You can find the GCD of 669, 362, 55, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.