GCD of 61, 264, 166, 105 Calculator

Given Input numbers are 61, 264, 166, 105

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 61, 264, 166, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 264, 166, 105 is 1.

Therefore, GCD of numbers 61, 264, 166, 105 is 1

Given Input Data is 61, 264, 166, 105

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

Prime Factorization of 61 is 61

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 166 is 2 x 83

Prime Factorization of 105 is 3 x 5 x 7

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, 264) = 16104

GCD(61, 264) = ( 61 x 264 ) / 16104

GCD(61, 264) = 16104 / 16104

GCD(61, 264) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 166

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

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

GCD(1, 166) = 166 / 166

GCD(1, 166) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 61, 264, 166, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 145, 591, 535
• GCD of 17, 443, 963, 496
• GCD of 52, 277, 508, 722
• GCD of 49, 711, 585, 285
• GCD of 90, 802, 240, 993

1. What is the GCD of 61, 264, 166, 105?

GCD of 61, 264, 166, 105 is 1

2. Where do I get the detailed procedure to find GCD of 61, 264, 166, 105?

You can find a detailed procedure to find GCD of 61, 264, 166, 105 on our page.

3. How to find GCD of 61, 264, 166, 105 on a calculator?

You can find the GCD of 61, 264, 166, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.