GCD of 696, 975, 42, 962 Calculator

Given Input numbers are 696, 975, 42, 962

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

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 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 696, 975, 42, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 975, 42, 962 is 1.

Therefore, GCD of numbers 696, 975, 42, 962 is 1

Given Input Data is 696, 975, 42, 962

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 962 is 2 x 13 x 37

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(696, 975) = 226200

GCD(696, 975) = ( 696 x 975 ) / 226200

GCD(696, 975) = 678600 / 226200

GCD(696, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 962

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

LCM(3, 962) = 2886

GCD(3, 962) = ( 3 x 962 ) / 2886

GCD(3, 962) = 2886 / 2886

GCD(3, 962) = 1

GCD of 696, 975, 42, 962 is 1

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1. What is the GCD of 696, 975, 42, 962?

GCD of 696, 975, 42, 962 is 1

2. Where do I get the detailed procedure to find GCD of 696, 975, 42, 962?

You can find a detailed procedure to find GCD of 696, 975, 42, 962 on our page.

3. How to find GCD of 696, 975, 42, 962 on a calculator?

You can find the GCD of 696, 975, 42, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.