GCD of 43, 31, 76, 61 Calculator

Given Input numbers are 43, 31, 76, 61

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Greatest Common Divisior

We found the divisors of 43, 31, 76, 61 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 31, 76, 61 is 1.

Therefore, GCD of numbers 43, 31, 76, 61 is 1

Given Input Data is 43, 31, 76, 61

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

Prime Factorization of 43 is 43

Prime Factorization of 31 is 31

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 61 is 61

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, 31) = 1333

GCD(43, 31) = ( 43 x 31 ) / 1333

GCD(43, 31) = 1333 / 1333

GCD(43, 31) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

GCD of 43, 31, 76, 61 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 98, 58, 82
• GCD of 10, 92, 95, 14
• GCD of 97, 16, 26, 97
• GCD of 46, 89, 83, 21
• GCD of 85, 60, 80, 94

1. What is the GCD of 43, 31, 76, 61?

GCD of 43, 31, 76, 61 is 1

2. Where do I get the detailed procedure to find GCD of 43, 31, 76, 61?

You can find a detailed procedure to find GCD of 43, 31, 76, 61 on our page.

3. How to find GCD of 43, 31, 76, 61 on a calculator?

You can find the GCD of 43, 31, 76, 61 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.