GCD of 399, 770, 49, 133 Calculator

Given Input numbers are 399, 770, 49, 133

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 49

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

1, 7, 49

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 399, 770, 49, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 770, 49, 133 is 7.

Therefore, GCD of numbers 399, 770, 49, 133 is 7

Given Input Data is 399, 770, 49, 133

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 49 is 7 x 7

Prime Factorization of 133 is 7 x 19

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(399, 770) = 43890

GCD(399, 770) = ( 399 x 770 ) / 43890

GCD(399, 770) = 307230 / 43890

GCD(399, 770) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 49

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

LCM(7, 49) = 49

GCD(7, 49) = ( 7 x 49 ) / 49

GCD(7, 49) = 343 / 49

GCD(7, 49) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 133

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

LCM(7, 133) = 133

GCD(7, 133) = ( 7 x 133 ) / 133

GCD(7, 133) = 931 / 133

GCD(7, 133) = 7

GCD of 399, 770, 49, 133 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 156, 38, 832
• GCD of 838, 498, 44, 204
• GCD of 975, 908, 12, 799
• GCD of 681, 100, 80, 984
• GCD of 500, 748, 26, 973

1. What is the GCD of 399, 770, 49, 133?

GCD of 399, 770, 49, 133 is 7

2. Where do I get the detailed procedure to find GCD of 399, 770, 49, 133?

You can find a detailed procedure to find GCD of 399, 770, 49, 133 on our page.

3. How to find GCD of 399, 770, 49, 133 on a calculator?

You can find the GCD of 399, 770, 49, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.