GCD of 40, 56, 61, 69 Calculator

Given Input numbers are 40, 56, 61, 69

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 61

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

1, 61

Divisors of 69

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

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 40, 56, 61, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 56, 61, 69 is 1.

Therefore, GCD of numbers 40, 56, 61, 69 is 1

Given Input Data is 40, 56, 61, 69

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 61 is 61

Prime Factorization of 69 is 3 x 23

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(40, 56) = 280

GCD(40, 56) = ( 40 x 56 ) / 280

GCD(40, 56) = 2240 / 280

GCD(40, 56) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 61

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

LCM(8, 61) = 488

GCD(8, 61) = ( 8 x 61 ) / 488

GCD(8, 61) = 488 / 488

GCD(8, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

GCD of 40, 56, 61, 69 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 76, 94, 32
• GCD of 38, 55, 83, 66
• GCD of 98, 15, 66, 49
• GCD of 47, 95, 17, 15
• GCD of 81, 74, 43, 68

1. What is the GCD of 40, 56, 61, 69?

GCD of 40, 56, 61, 69 is 1

2. Where do I get the detailed procedure to find GCD of 40, 56, 61, 69?

You can find a detailed procedure to find GCD of 40, 56, 61, 69 on our page.

3. How to find GCD of 40, 56, 61, 69 on a calculator?

You can find the GCD of 40, 56, 61, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.