GCD of 221, 677, 99, 948 Calculator

Given Input numbers are 221, 677, 99, 948

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 221, 677, 99, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 677, 99, 948 is 1.

Therefore, GCD of numbers 221, 677, 99, 948 is 1

Given Input Data is 221, 677, 99, 948

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 677 is 677

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(221, 677) = 149617

GCD(221, 677) = ( 221 x 677 ) / 149617

GCD(221, 677) = 149617 / 149617

GCD(221, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 221, 677, 99, 948 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 288, 19, 429
• GCD of 813, 968, 17, 683
• GCD of 948, 295, 30, 140
• GCD of 281, 809, 12, 238
• GCD of 537, 377, 58, 311

1. What is the GCD of 221, 677, 99, 948?

GCD of 221, 677, 99, 948 is 1

2. Where do I get the detailed procedure to find GCD of 221, 677, 99, 948?

You can find a detailed procedure to find GCD of 221, 677, 99, 948 on our page.

3. How to find GCD of 221, 677, 99, 948 on a calculator?

You can find the GCD of 221, 677, 99, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.