GCD of 556, 119, 654, 699 Calculator

Given Input numbers are 556, 119, 654, 699

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 556, 119, 654, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 119, 654, 699 is 1.

Therefore, GCD of numbers 556, 119, 654, 699 is 1

Given Input Data is 556, 119, 654, 699

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 119 is 7 x 17

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 699 is 3 x 233

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(556, 119) = 66164

GCD(556, 119) = ( 556 x 119 ) / 66164

GCD(556, 119) = 66164 / 66164

GCD(556, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 556, 119, 654, 699 is 1

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1. What is the GCD of 556, 119, 654, 699?

GCD of 556, 119, 654, 699 is 1

2. Where do I get the detailed procedure to find GCD of 556, 119, 654, 699?

You can find a detailed procedure to find GCD of 556, 119, 654, 699 on our page.

3. How to find GCD of 556, 119, 654, 699 on a calculator?

You can find the GCD of 556, 119, 654, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.