GCD of 49, 51, 60, 63 Calculator

Given Input numbers are 49, 51, 60, 63

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

Divisors of 49

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

1, 7, 49

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 63

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

1, 3, 7, 9, 21, 63

Greatest Common Divisior

We found the divisors of 49, 51, 60, 63 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 51, 60, 63 is 1.

Therefore, GCD of numbers 49, 51, 60, 63 is 1

Given Input Data is 49, 51, 60, 63

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 51 is 3 x 17

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 63 is 3 x 3 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(49, 51) = 2499

GCD(49, 51) = ( 49 x 51 ) / 2499

GCD(49, 51) = 2499 / 2499

GCD(49, 51) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

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

GCD of 49, 51, 60, 63 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 43, 13, 52
• GCD of 80, 69, 44, 45
• GCD of 34, 67, 55, 82
• GCD of 51, 37, 38, 26
• GCD of 80, 76, 68, 59

1. What is the GCD of 49, 51, 60, 63?

GCD of 49, 51, 60, 63 is 1

2. Where do I get the detailed procedure to find GCD of 49, 51, 60, 63?

You can find a detailed procedure to find GCD of 49, 51, 60, 63 on our page.

3. How to find GCD of 49, 51, 60, 63 on a calculator?

You can find the GCD of 49, 51, 60, 63 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.