GCD of 748, 993, 61, 105 Calculator

Given Input numbers are 748, 993, 61, 105

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 105

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

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

Greatest Common Divisior

We found the divisors of 748, 993, 61, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 993, 61, 105 is 1.

Therefore, GCD of numbers 748, 993, 61, 105 is 1

Given Input Data is 748, 993, 61, 105

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 993 is 3 x 331

Prime Factorization of 61 is 61

Prime Factorization of 105 is 3 x 5 x 7

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(748, 993) = 742764

GCD(748, 993) = ( 748 x 993 ) / 742764

GCD(748, 993) = 742764 / 742764

GCD(748, 993) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 748, 993, 61, 105 is 1

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• GCD of 350, 767, 27, 529
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1. What is the GCD of 748, 993, 61, 105?

GCD of 748, 993, 61, 105 is 1

2. Where do I get the detailed procedure to find GCD of 748, 993, 61, 105?

You can find a detailed procedure to find GCD of 748, 993, 61, 105 on our page.

3. How to find GCD of 748, 993, 61, 105 on a calculator?

You can find the GCD of 748, 993, 61, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.