GCD of 76, 42, 70, 19 Calculator

Given Input numbers are 76, 42, 70, 19

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Greatest Common Divisior

We found the divisors of 76, 42, 70, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 42, 70, 19 is 1.

Therefore, GCD of numbers 76, 42, 70, 19 is 1

Given Input Data is 76, 42, 70, 19

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 19 is 19

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(76, 42) = 1596

GCD(76, 42) = ( 76 x 42 ) / 1596

GCD(76, 42) = 3192 / 1596

GCD(76, 42) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

GCD of 76, 42, 70, 19 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 34, 58, 10
• GCD of 97, 12, 59, 77
• GCD of 94, 88, 73, 19
• GCD of 17, 82, 86, 31
• GCD of 17, 89, 93, 95

1. What is the GCD of 76, 42, 70, 19?

GCD of 76, 42, 70, 19 is 1

2. Where do I get the detailed procedure to find GCD of 76, 42, 70, 19?

You can find a detailed procedure to find GCD of 76, 42, 70, 19 on our page.

3. How to find GCD of 76, 42, 70, 19 on a calculator?

You can find the GCD of 76, 42, 70, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.