GCD of 138, 198, 77, 785 Calculator

Given Input numbers are 138, 198, 77, 785

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 138, 198, 77, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 198, 77, 785 is 1.

Therefore, GCD of numbers 138, 198, 77, 785 is 1

Given Input Data is 138, 198, 77, 785

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 198 is 2 x 3 x 3 x 11

Prime Factorization of 77 is 7 x 11

Prime Factorization of 785 is 5 x 157

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, 198) = 4554

GCD(138, 198) = ( 138 x 198 ) / 4554

GCD(138, 198) = 27324 / 4554

GCD(138, 198) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 77

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

LCM(6, 77) = 462

GCD(6, 77) = ( 6 x 77 ) / 462

GCD(6, 77) = 462 / 462

GCD(6, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 138, 198, 77, 785 is 1

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• GCD of 384, 860, 86, 812
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1. What is the GCD of 138, 198, 77, 785?

GCD of 138, 198, 77, 785 is 1

2. Where do I get the detailed procedure to find GCD of 138, 198, 77, 785?

You can find a detailed procedure to find GCD of 138, 198, 77, 785 on our page.

3. How to find GCD of 138, 198, 77, 785 on a calculator?

You can find the GCD of 138, 198, 77, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.