GCD of 34, 70, 74, 96 Calculator

Given Input numbers are 34, 70, 74, 96

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 34, 70, 74, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 70, 74, 96 is 2.

Therefore, GCD of numbers 34, 70, 74, 96 is 2

Given Input Data is 34, 70, 74, 96

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 74 is 2 x 37

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(34, 70) = 1190

GCD(34, 70) = ( 34 x 70 ) / 1190

GCD(34, 70) = 2380 / 1190

GCD(34, 70) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

GCD of 34, 70, 74, 96 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 62, 58, 37
• GCD of 44, 47, 60, 34
• GCD of 73, 80, 12, 42
• GCD of 17, 21, 89, 33
• GCD of 77, 50, 90, 55

1. What is the GCD of 34, 70, 74, 96?

GCD of 34, 70, 74, 96 is 2

2. Where do I get the detailed procedure to find GCD of 34, 70, 74, 96?

You can find a detailed procedure to find GCD of 34, 70, 74, 96 on our page.

3. How to find GCD of 34, 70, 74, 96 on a calculator?

You can find the GCD of 34, 70, 74, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.