GCD of 577, 777, 198, 734 Calculator

Given Input numbers are 577, 777, 198, 734

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 577, 777, 198, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 777, 198, 734 is 1.

Therefore, GCD of numbers 577, 777, 198, 734 is 1

Given Input Data is 577, 777, 198, 734

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

Prime Factorization of 577 is 577

Prime Factorization of 777 is 3 x 7 x 37

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

Prime Factorization of 734 is 2 x 367

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(577, 777) = 448329

GCD(577, 777) = ( 577 x 777 ) / 448329

GCD(577, 777) = 448329 / 448329

GCD(577, 777) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 577, 777, 198, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 118, 786, 609
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• GCD of 380, 916, 346, 176

1. What is the GCD of 577, 777, 198, 734?

GCD of 577, 777, 198, 734 is 1

2. Where do I get the detailed procedure to find GCD of 577, 777, 198, 734?

You can find a detailed procedure to find GCD of 577, 777, 198, 734 on our page.

3. How to find GCD of 577, 777, 198, 734 on a calculator?

You can find the GCD of 577, 777, 198, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.