GCD of 660, 161, 10, 105 Calculator

Given Input numbers are 660, 161, 10, 105

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 10

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

1, 2, 5, 10

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 660, 161, 10, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 161, 10, 105 is 1.

Therefore, GCD of numbers 660, 161, 10, 105 is 1

Given Input Data is 660, 161, 10, 105

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 161 is 7 x 23

Prime Factorization of 10 is 2 x 5

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(660, 161) = 106260

GCD(660, 161) = ( 660 x 161 ) / 106260

GCD(660, 161) = 106260 / 106260

GCD(660, 161) = 1

Step2:

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

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 660, 161, 10, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 640, 19, 806
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• GCD of 331, 783, 65, 366
• GCD of 160, 228, 23, 363
• GCD of 394, 559, 68, 170

1. What is the GCD of 660, 161, 10, 105?

GCD of 660, 161, 10, 105 is 1

2. Where do I get the detailed procedure to find GCD of 660, 161, 10, 105?

You can find a detailed procedure to find GCD of 660, 161, 10, 105 on our page.

3. How to find GCD of 660, 161, 10, 105 on a calculator?

You can find the GCD of 660, 161, 10, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.