GCD of 44, 122, 757, 996 Calculator

Given Input numbers are 44, 122, 757, 996

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 44, 122, 757, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 122, 757, 996 is 1.

Therefore, GCD of numbers 44, 122, 757, 996 is 1

Given Input Data is 44, 122, 757, 996

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 122 is 2 x 61

Prime Factorization of 757 is 757

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(44, 122) = 2684

GCD(44, 122) = ( 44 x 122 ) / 2684

GCD(44, 122) = 5368 / 2684

GCD(44, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 757

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

LCM(2, 757) = 1514

GCD(2, 757) = ( 2 x 757 ) / 1514

GCD(2, 757) = 1514 / 1514

GCD(2, 757) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 44, 122, 757, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 531, 126, 580
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• GCD of 75, 637, 538, 750
• GCD of 22, 807, 848, 827
• GCD of 40, 716, 564, 851

1. What is the GCD of 44, 122, 757, 996?

GCD of 44, 122, 757, 996 is 1

2. Where do I get the detailed procedure to find GCD of 44, 122, 757, 996?

You can find a detailed procedure to find GCD of 44, 122, 757, 996 on our page.

3. How to find GCD of 44, 122, 757, 996 on a calculator?

You can find the GCD of 44, 122, 757, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.