GCD of 34, 4, 14, 77 Calculator

Given Input numbers are 34, 4, 14, 77

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 4

List of positive integer divisors of 4 that divides 4 without a remainder.

1, 2, 4

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 34, 4, 14, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 4, 14, 77 is 1.

Therefore, GCD of numbers 34, 4, 14, 77 is 1

Given Input Data is 34, 4, 14, 77

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 4 is 2 x 2

Prime Factorization of 14 is 2 x 7

Prime Factorization of 77 is 7 x 11

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(34, 4) = 68

GCD(34, 4) = ( 34 x 4 ) / 68

GCD(34, 4) = 136 / 68

GCD(34, 4) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

GCD of 34, 4, 14, 77 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 5, 67, 64
• GCD of 48, 6, 59, 19
• GCD of 24, 1, 46, 42
• GCD of 63, 5, 25, 85
• GCD of 16, 3, 60, 42

1. What is the GCD of 34, 4, 14, 77?

GCD of 34, 4, 14, 77 is 1

2. Where do I get the detailed procedure to find GCD of 34, 4, 14, 77?

You can find a detailed procedure to find GCD of 34, 4, 14, 77 on our page.

3. How to find GCD of 34, 4, 14, 77 on a calculator?

You can find the GCD of 34, 4, 14, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.