GCD of 677, 698, 202, 223 Calculator

Given Input numbers are 677, 698, 202, 223

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

Divisors of 677

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

1, 677

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 677, 698, 202, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 698, 202, 223 is 1.

Therefore, GCD of numbers 677, 698, 202, 223 is 1

Given Input Data is 677, 698, 202, 223

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

Prime Factorization of 677 is 677

Prime Factorization of 698 is 2 x 349

Prime Factorization of 202 is 2 x 101

Prime Factorization of 223 is 223

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(677, 698) = 472546

GCD(677, 698) = ( 677 x 698 ) / 472546

GCD(677, 698) = 472546 / 472546

GCD(677, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

GCD of 677, 698, 202, 223 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 836, 109, 304
• GCD of 221, 428, 333, 919
• GCD of 167, 720, 678, 420
• GCD of 786, 696, 867, 351
• GCD of 870, 325, 842, 428

1. What is the GCD of 677, 698, 202, 223?

GCD of 677, 698, 202, 223 is 1

2. Where do I get the detailed procedure to find GCD of 677, 698, 202, 223?

You can find a detailed procedure to find GCD of 677, 698, 202, 223 on our page.

3. How to find GCD of 677, 698, 202, 223 on a calculator?

You can find the GCD of 677, 698, 202, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.