GCD of 44, 119, 507, 690 Calculator

Given Input numbers are 44, 119, 507, 690

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 119

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

1, 7, 17, 119

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 44, 119, 507, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 119, 507, 690 is 1.

Therefore, GCD of numbers 44, 119, 507, 690 is 1

Given Input Data is 44, 119, 507, 690

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 119 is 7 x 17

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(44, 119) = 5236

GCD(44, 119) = ( 44 x 119 ) / 5236

GCD(44, 119) = 5236 / 5236

GCD(44, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 44, 119, 507, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 243, 967, 557
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• GCD of 87, 406, 851, 720

1. What is the GCD of 44, 119, 507, 690?

GCD of 44, 119, 507, 690 is 1

2. Where do I get the detailed procedure to find GCD of 44, 119, 507, 690?

You can find a detailed procedure to find GCD of 44, 119, 507, 690 on our page.

3. How to find GCD of 44, 119, 507, 690 on a calculator?

You can find the GCD of 44, 119, 507, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.