GCD of 78, 99, 42, 35 Calculator

Given Input numbers are 78, 99, 42, 35

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Greatest Common Divisior

We found the divisors of 78, 99, 42, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 99, 42, 35 is 1.

Therefore, GCD of numbers 78, 99, 42, 35 is 1

Given Input Data is 78, 99, 42, 35

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 35 is 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(78, 99) = 2574

GCD(78, 99) = ( 78 x 99 ) / 2574

GCD(78, 99) = 7722 / 2574

GCD(78, 99) = 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 35

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

LCM(3, 35) = 105

GCD(3, 35) = ( 3 x 35 ) / 105

GCD(3, 35) = 105 / 105

GCD(3, 35) = 1

GCD of 78, 99, 42, 35 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 45, 47, 17
• GCD of 21, 75, 87, 76
• GCD of 63, 38, 74, 42
• GCD of 34, 25, 67, 68
• GCD of 48, 70, 35, 72

1. What is the GCD of 78, 99, 42, 35?

GCD of 78, 99, 42, 35 is 1

2. Where do I get the detailed procedure to find GCD of 78, 99, 42, 35?

You can find a detailed procedure to find GCD of 78, 99, 42, 35 on our page.

3. How to find GCD of 78, 99, 42, 35 on a calculator?

You can find the GCD of 78, 99, 42, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.