GCD of 41, 722, 701, 998 Calculator

Given Input numbers are 41, 722, 701, 998

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 41, 722, 701, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 722, 701, 998 is 1.

Therefore, GCD of numbers 41, 722, 701, 998 is 1

Given Input Data is 41, 722, 701, 998

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

Prime Factorization of 41 is 41

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 701 is 701

Prime Factorization of 998 is 2 x 499

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(41, 722) = 29602

GCD(41, 722) = ( 41 x 722 ) / 29602

GCD(41, 722) = 29602 / 29602

GCD(41, 722) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 41, 722, 701, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 344, 700, 299
• GCD of 48, 555, 224, 206
• GCD of 27, 827, 753, 282
• GCD of 69, 109, 469, 318
• GCD of 16, 661, 120, 648

1. What is the GCD of 41, 722, 701, 998?

GCD of 41, 722, 701, 998 is 1

2. Where do I get the detailed procedure to find GCD of 41, 722, 701, 998?

You can find a detailed procedure to find GCD of 41, 722, 701, 998 on our page.

3. How to find GCD of 41, 722, 701, 998 on a calculator?

You can find the GCD of 41, 722, 701, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.