GCD of 742, 652, 62, 806 Calculator

Given Input numbers are 742, 652, 62, 806

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 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 742, 652, 62, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 652, 62, 806 is 2.

Therefore, GCD of numbers 742, 652, 62, 806 is 2

Given Input Data is 742, 652, 62, 806

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 652 is 2 x 2 x 163

Prime Factorization of 62 is 2 x 31

Prime Factorization of 806 is 2 x 13 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 652) = 241892

GCD(742, 652) = ( 742 x 652 ) / 241892

GCD(742, 652) = 483784 / 241892

GCD(742, 652) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 62

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

LCM(2, 62) = 62

GCD(2, 62) = ( 2 x 62 ) / 62

GCD(2, 62) = 124 / 62

GCD(2, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 806

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

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

GCD(2, 806) = 1612 / 806

GCD(2, 806) = 2

GCD of 742, 652, 62, 806 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 632, 96, 873
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• GCD of 200, 245, 98, 907

1. What is the GCD of 742, 652, 62, 806?

GCD of 742, 652, 62, 806 is 2

2. Where do I get the detailed procedure to find GCD of 742, 652, 62, 806?

You can find a detailed procedure to find GCD of 742, 652, 62, 806 on our page.

3. How to find GCD of 742, 652, 62, 806 on a calculator?

You can find the GCD of 742, 652, 62, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.