GCD of 242, 536, 10, 740 Calculator

Given Input numbers are 242, 536, 10, 740

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 242, 536, 10, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 536, 10, 740 is 2.

Therefore, GCD of numbers 242, 536, 10, 740 is 2

Given Input Data is 242, 536, 10, 740

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 10 is 2 x 5

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(242, 536) = 64856

GCD(242, 536) = ( 242 x 536 ) / 64856

GCD(242, 536) = 129712 / 64856

GCD(242, 536) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 740

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

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

GCD(2, 740) = 1480 / 740

GCD(2, 740) = 2

GCD of 242, 536, 10, 740 is 2

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• GCD of 934, 503, 29, 629
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1. What is the GCD of 242, 536, 10, 740?

GCD of 242, 536, 10, 740 is 2

2. Where do I get the detailed procedure to find GCD of 242, 536, 10, 740?

You can find a detailed procedure to find GCD of 242, 536, 10, 740 on our page.

3. How to find GCD of 242, 536, 10, 740 on a calculator?

You can find the GCD of 242, 536, 10, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.