GCD of 764, 565, 922, 198 Calculator

Given Input numbers are 764, 565, 922, 198

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

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

Greatest Common Divisior

We found the divisors of 764, 565, 922, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 565, 922, 198 is 1.

Therefore, GCD of numbers 764, 565, 922, 198 is 1

Given Input Data is 764, 565, 922, 198

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 565 is 5 x 113

Prime Factorization of 922 is 2 x 461

Prime Factorization of 198 is 2 x 3 x 3 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(764, 565) = 431660

GCD(764, 565) = ( 764 x 565 ) / 431660

GCD(764, 565) = 431660 / 431660

GCD(764, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

Step3:

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

GCD of 764, 565, 922, 198 is 1

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• GCD of 168, 623, 591, 557
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1. What is the GCD of 764, 565, 922, 198?

GCD of 764, 565, 922, 198 is 1

2. Where do I get the detailed procedure to find GCD of 764, 565, 922, 198?

You can find a detailed procedure to find GCD of 764, 565, 922, 198 on our page.

3. How to find GCD of 764, 565, 922, 198 on a calculator?

You can find the GCD of 764, 565, 922, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.