GCD of 61, 49, 27, 10 Calculator

Given Input numbers are 61, 49, 27, 10

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

Divisors of 61

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

1, 61

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 61, 49, 27, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 49, 27, 10 is 1.

Therefore, GCD of numbers 61, 49, 27, 10 is 1

Given Input Data is 61, 49, 27, 10

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

Prime Factorization of 61 is 61

Prime Factorization of 49 is 7 x 7

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 10 is 2 x 5

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(61, 49) = 2989

GCD(61, 49) = ( 61 x 49 ) / 2989

GCD(61, 49) = 2989 / 2989

GCD(61, 49) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 61, 49, 27, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 74, 26, 28
• GCD of 32, 56, 33, 20
• GCD of 51, 78, 51, 17
• GCD of 22, 14, 30, 10
• GCD of 19, 89, 61, 15

1. What is the GCD of 61, 49, 27, 10?

GCD of 61, 49, 27, 10 is 1

2. Where do I get the detailed procedure to find GCD of 61, 49, 27, 10?

You can find a detailed procedure to find GCD of 61, 49, 27, 10 on our page.

3. How to find GCD of 61, 49, 27, 10 on a calculator?

You can find the GCD of 61, 49, 27, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.