GCD of 119, 711, 49, 554 Calculator

Given Input numbers are 119, 711, 49, 554

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

Divisors of 119

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

1, 7, 17, 119

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 119, 711, 49, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 711, 49, 554 is 1.

Therefore, GCD of numbers 119, 711, 49, 554 is 1

Given Input Data is 119, 711, 49, 554

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 49 is 7 x 7

Prime Factorization of 554 is 2 x 277

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(119, 711) = 84609

GCD(119, 711) = ( 119 x 711 ) / 84609

GCD(119, 711) = 84609 / 84609

GCD(119, 711) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 119, 711, 49, 554 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 223, 32, 770
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• GCD of 825, 660, 27, 627
• GCD of 394, 225, 20, 744
• GCD of 274, 323, 21, 779

1. What is the GCD of 119, 711, 49, 554?

GCD of 119, 711, 49, 554 is 1

2. Where do I get the detailed procedure to find GCD of 119, 711, 49, 554?

You can find a detailed procedure to find GCD of 119, 711, 49, 554 on our page.

3. How to find GCD of 119, 711, 49, 554 on a calculator?

You can find the GCD of 119, 711, 49, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.