GCD of 138, 699, 263, 370 Calculator

Given Input numbers are 138, 699, 263, 370

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 699

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

1, 3, 233, 699

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 138, 699, 263, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 699, 263, 370 is 1.

Therefore, GCD of numbers 138, 699, 263, 370 is 1

Given Input Data is 138, 699, 263, 370

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 699 is 3 x 233

Prime Factorization of 263 is 263

Prime Factorization of 370 is 2 x 5 x 37

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(138, 699) = 32154

GCD(138, 699) = ( 138 x 699 ) / 32154

GCD(138, 699) = 96462 / 32154

GCD(138, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 263

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

LCM(3, 263) = 789

GCD(3, 263) = ( 3 x 263 ) / 789

GCD(3, 263) = 789 / 789

GCD(3, 263) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 138, 699, 263, 370 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 456, 356, 711
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• GCD of 222, 896, 999, 140
• GCD of 221, 670, 794, 706
• GCD of 391, 161, 708, 592

1. What is the GCD of 138, 699, 263, 370?

GCD of 138, 699, 263, 370 is 1

2. Where do I get the detailed procedure to find GCD of 138, 699, 263, 370?

You can find a detailed procedure to find GCD of 138, 699, 263, 370 on our page.

3. How to find GCD of 138, 699, 263, 370 on a calculator?

You can find the GCD of 138, 699, 263, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.