GCD of 722, 661, 31, 207 Calculator

Given Input numbers are 722, 661, 31, 207

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

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 722, 661, 31, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 661, 31, 207 is 1.

Therefore, GCD of numbers 722, 661, 31, 207 is 1

Given Input Data is 722, 661, 31, 207

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 661 is 661

Prime Factorization of 31 is 31

Prime Factorization of 207 is 3 x 3 x 23

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(722, 661) = 477242

GCD(722, 661) = ( 722 x 661 ) / 477242

GCD(722, 661) = 477242 / 477242

GCD(722, 661) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 722, 661, 31, 207 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 142, 27, 382
• GCD of 585, 378, 27, 162
• GCD of 876, 234, 76, 423
• GCD of 229, 136, 43, 382
• GCD of 581, 148, 18, 902

1. What is the GCD of 722, 661, 31, 207?

GCD of 722, 661, 31, 207 is 1

2. Where do I get the detailed procedure to find GCD of 722, 661, 31, 207?

You can find a detailed procedure to find GCD of 722, 661, 31, 207 on our page.

3. How to find GCD of 722, 661, 31, 207 on a calculator?

You can find the GCD of 722, 661, 31, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.