GCD of 242, 134, 10, 749 Calculator

Given Input numbers are 242, 134, 10, 749

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 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 10

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

1, 2, 5, 10

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 242, 134, 10, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 134, 10, 749 is 1.

Therefore, GCD of numbers 242, 134, 10, 749 is 1

Given Input Data is 242, 134, 10, 749

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 134 is 2 x 67

Prime Factorization of 10 is 2 x 5

Prime Factorization of 749 is 7 x 107

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(242, 134) = 16214

GCD(242, 134) = ( 242 x 134 ) / 16214

GCD(242, 134) = 32428 / 16214

GCD(242, 134) = 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 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

GCD of 242, 134, 10, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 693, 17, 881
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• GCD of 966, 460, 19, 736

1. What is the GCD of 242, 134, 10, 749?

GCD of 242, 134, 10, 749 is 1

2. Where do I get the detailed procedure to find GCD of 242, 134, 10, 749?

You can find a detailed procedure to find GCD of 242, 134, 10, 749 on our page.

3. How to find GCD of 242, 134, 10, 749 on a calculator?

You can find the GCD of 242, 134, 10, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.