GCD of 99, 722, 278, 921 Calculator

Given Input numbers are 99, 722, 278, 921

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 99, 722, 278, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 722, 278, 921 is 1.

Therefore, GCD of numbers 99, 722, 278, 921 is 1

Given Input Data is 99, 722, 278, 921

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 278 is 2 x 139

Prime Factorization of 921 is 3 x 307

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(99, 722) = 71478

GCD(99, 722) = ( 99 x 722 ) / 71478

GCD(99, 722) = 71478 / 71478

GCD(99, 722) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 99, 722, 278, 921 is 1

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• GCD of 79, 312, 394, 322
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• GCD of 56, 239, 284, 267

1. What is the GCD of 99, 722, 278, 921?

GCD of 99, 722, 278, 921 is 1

2. Where do I get the detailed procedure to find GCD of 99, 722, 278, 921?

You can find a detailed procedure to find GCD of 99, 722, 278, 921 on our page.

3. How to find GCD of 99, 722, 278, 921 on a calculator?

You can find the GCD of 99, 722, 278, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.