GCD of 105, 533, 49, 736 Calculator

Given Input numbers are 105, 533, 49, 736

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 105, 533, 49, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 533, 49, 736 is 1.

Therefore, GCD of numbers 105, 533, 49, 736 is 1

Given Input Data is 105, 533, 49, 736

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 533 is 13 x 41

Prime Factorization of 49 is 7 x 7

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(105, 533) = 55965

GCD(105, 533) = ( 105 x 533 ) / 55965

GCD(105, 533) = 55965 / 55965

GCD(105, 533) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 105, 533, 49, 736 is 1

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• GCD of 736, 948, 35, 629
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1. What is the GCD of 105, 533, 49, 736?

GCD of 105, 533, 49, 736 is 1

2. Where do I get the detailed procedure to find GCD of 105, 533, 49, 736?

You can find a detailed procedure to find GCD of 105, 533, 49, 736 on our page.

3. How to find GCD of 105, 533, 49, 736 on a calculator?

You can find the GCD of 105, 533, 49, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.