GCD of 63, 21, 49 Calculator

Given Input numbers are 63, 21, 49

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

Divisors of 63

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

1, 3, 7, 9, 21, 63

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 49

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

1, 7, 49

Greatest Common Divisior

We found the divisors of 63, 21, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 21, 49 is 7.

Therefore, GCD of numbers 63, 21, 49 is 7

Given Input Data is 63, 21, 49

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 49 is 7 x 7

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(63, 21) = 63

GCD(63, 21) = ( 63 x 21 ) / 63

GCD(63, 21) = 1323 / 63

GCD(63, 21) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 49

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

LCM(21, 49) = 147

GCD(21, 49) = ( 21 x 49 ) / 147

GCD(21, 49) = 1029 / 147

GCD(21, 49) = 7

GCD of 63, 21, 49 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 49, 63
• GCD of 56, 56, 64
• GCD of 18, 50, 60
• GCD of 74, 86, 34
• GCD of 16, 62, 19

1. What is the GCD of 63, 21, 49?

GCD of 63, 21, 49 is 7

2. Where do I get the detailed procedure to find GCD of 63, 21, 49?

You can find a detailed procedure to find GCD of 63, 21, 49 on our page.

3. How to find GCD of 63, 21, 49 on a calculator?

You can find the GCD of 63, 21, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.