GCD of 43, 69, 77, 82 Calculator

Given Input numbers are 43, 69, 77, 82

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 77

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

1, 7, 11, 77

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 43, 69, 77, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 69, 77, 82 is 1.

Therefore, GCD of numbers 43, 69, 77, 82 is 1

Given Input Data is 43, 69, 77, 82

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

Prime Factorization of 43 is 43

Prime Factorization of 69 is 3 x 23

Prime Factorization of 77 is 7 x 11

Prime Factorization of 82 is 2 x 41

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(43, 69) = 2967

GCD(43, 69) = ( 43 x 69 ) / 2967

GCD(43, 69) = 2967 / 2967

GCD(43, 69) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

GCD of 43, 69, 77, 82 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 13, 78, 94
• GCD of 29, 74, 73, 92
• GCD of 23, 20, 13, 59
• GCD of 66, 40, 55, 31
• GCD of 46, 21, 12, 43

1. What is the GCD of 43, 69, 77, 82?

GCD of 43, 69, 77, 82 is 1

2. Where do I get the detailed procedure to find GCD of 43, 69, 77, 82?

You can find a detailed procedure to find GCD of 43, 69, 77, 82 on our page.

3. How to find GCD of 43, 69, 77, 82 on a calculator?

You can find the GCD of 43, 69, 77, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.