GCD of 770, 336, 38, 690 Calculator

Given Input numbers are 770, 336, 38, 690

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

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 770, 336, 38, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 336, 38, 690 is 2.

Therefore, GCD of numbers 770, 336, 38, 690 is 2

Given Input Data is 770, 336, 38, 690

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

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 38 is 2 x 19

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(770, 336) = 18480

GCD(770, 336) = ( 770 x 336 ) / 18480

GCD(770, 336) = 258720 / 18480

GCD(770, 336) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 38

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

LCM(14, 38) = 266

GCD(14, 38) = ( 14 x 38 ) / 266

GCD(14, 38) = 532 / 266

GCD(14, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 690

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

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

GCD(2, 690) = 1380 / 690

GCD(2, 690) = 2

GCD of 770, 336, 38, 690 is 2

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1. What is the GCD of 770, 336, 38, 690?

GCD of 770, 336, 38, 690 is 2

2. Where do I get the detailed procedure to find GCD of 770, 336, 38, 690?

You can find a detailed procedure to find GCD of 770, 336, 38, 690 on our page.

3. How to find GCD of 770, 336, 38, 690 on a calculator?

You can find the GCD of 770, 336, 38, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.