GCD of 742, 821, 44, 208 Calculator

Given Input numbers are 742, 821, 44, 208

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 742, 821, 44, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 821, 44, 208 is 1.

Therefore, GCD of numbers 742, 821, 44, 208 is 1

Given Input Data is 742, 821, 44, 208

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 821 is 821

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(742, 821) = 609182

GCD(742, 821) = ( 742 x 821 ) / 609182

GCD(742, 821) = 609182 / 609182

GCD(742, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 742, 821, 44, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 744, 50, 148
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• GCD of 337, 682, 16, 414
• GCD of 618, 542, 93, 498
• GCD of 143, 225, 41, 722

1. What is the GCD of 742, 821, 44, 208?

GCD of 742, 821, 44, 208 is 1

2. Where do I get the detailed procedure to find GCD of 742, 821, 44, 208?

You can find a detailed procedure to find GCD of 742, 821, 44, 208 on our page.

3. How to find GCD of 742, 821, 44, 208 on a calculator?

You can find the GCD of 742, 821, 44, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.