GCD of 105, 466, 63, 938 Calculator

Given Input numbers are 105, 466, 63, 938

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

Divisors of 105

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

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 105, 466, 63, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 466, 63, 938 is 1.

Therefore, GCD of numbers 105, 466, 63, 938 is 1

Given Input Data is 105, 466, 63, 938

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 466 is 2 x 233

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 938 is 2 x 7 x 67

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(105, 466) = 48930

GCD(105, 466) = ( 105 x 466 ) / 48930

GCD(105, 466) = 48930 / 48930

GCD(105, 466) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 63

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

LCM(1, 63) = 63

GCD(1, 63) = ( 1 x 63 ) / 63

GCD(1, 63) = 63 / 63

GCD(1, 63) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 105, 466, 63, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 183, 27, 146
• GCD of 947, 281, 24, 726
• GCD of 473, 355, 66, 265
• GCD of 399, 643, 10, 795
• GCD of 189, 639, 53, 960

1. What is the GCD of 105, 466, 63, 938?

GCD of 105, 466, 63, 938 is 1

2. Where do I get the detailed procedure to find GCD of 105, 466, 63, 938?

You can find a detailed procedure to find GCD of 105, 466, 63, 938 on our page.

3. How to find GCD of 105, 466, 63, 938 on a calculator?

You can find the GCD of 105, 466, 63, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.