GCD of 707, 198, 643, 121 Calculator

Given Input numbers are 707, 198, 643, 121

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 707, 198, 643, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 198, 643, 121 is 1.

Therefore, GCD of numbers 707, 198, 643, 121 is 1

Given Input Data is 707, 198, 643, 121

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

Prime Factorization of 707 is 7 x 101

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

Prime Factorization of 643 is 643

Prime Factorization of 121 is 11 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(707, 198) = 139986

GCD(707, 198) = ( 707 x 198 ) / 139986

GCD(707, 198) = 139986 / 139986

GCD(707, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 707, 198, 643, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 185, 332, 119
• GCD of 204, 632, 400, 901
• GCD of 605, 962, 523, 331
• GCD of 315, 331, 146, 755
• GCD of 307, 806, 443, 405

1. What is the GCD of 707, 198, 643, 121?

GCD of 707, 198, 643, 121 is 1

2. Where do I get the detailed procedure to find GCD of 707, 198, 643, 121?

You can find a detailed procedure to find GCD of 707, 198, 643, 121 on our page.

3. How to find GCD of 707, 198, 643, 121 on a calculator?

You can find the GCD of 707, 198, 643, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.