GCD of 198, 993, 750, 770 Calculator

Given Input numbers are 198, 993, 750, 770

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

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

Greatest Common Divisior

We found the divisors of 198, 993, 750, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 993, 750, 770 is 1.

Therefore, GCD of numbers 198, 993, 750, 770 is 1

Given Input Data is 198, 993, 750, 770

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 993 is 3 x 331

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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

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(198, 993) = 65538

GCD(198, 993) = ( 198 x 993 ) / 65538

GCD(198, 993) = 196614 / 65538

GCD(198, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 750

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

LCM(3, 750) = 750

GCD(3, 750) = ( 3 x 750 ) / 750

GCD(3, 750) = 2250 / 750

GCD(3, 750) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 770

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

LCM(3, 770) = 2310

GCD(3, 770) = ( 3 x 770 ) / 2310

GCD(3, 770) = 2310 / 2310

GCD(3, 770) = 1

GCD of 198, 993, 750, 770 is 1

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• GCD of 372, 361, 706, 878
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1. What is the GCD of 198, 993, 750, 770?

GCD of 198, 993, 750, 770 is 1

2. Where do I get the detailed procedure to find GCD of 198, 993, 750, 770?

You can find a detailed procedure to find GCD of 198, 993, 750, 770 on our page.

3. How to find GCD of 198, 993, 750, 770 on a calculator?

You can find the GCD of 198, 993, 750, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.