GCD of 42, 799, 712, 975 Calculator

Given Input numbers are 42, 799, 712, 975

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 42, 799, 712, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 799, 712, 975 is 1.

Therefore, GCD of numbers 42, 799, 712, 975 is 1

Given Input Data is 42, 799, 712, 975

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 799 is 17 x 47

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(42, 799) = 33558

GCD(42, 799) = ( 42 x 799 ) / 33558

GCD(42, 799) = 33558 / 33558

GCD(42, 799) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 42, 799, 712, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 290, 605, 859
• GCD of 93, 592, 756, 930
• GCD of 46, 268, 940, 171
• GCD of 31, 895, 433, 992
• GCD of 39, 175, 950, 994

1. What is the GCD of 42, 799, 712, 975?

GCD of 42, 799, 712, 975 is 1

2. Where do I get the detailed procedure to find GCD of 42, 799, 712, 975?

You can find a detailed procedure to find GCD of 42, 799, 712, 975 on our page.

3. How to find GCD of 42, 799, 712, 975 on a calculator?

You can find the GCD of 42, 799, 712, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.