GCD of 63, 77, 61, 74 Calculator

Given Input numbers are 63, 77, 61, 74

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 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 63, 77, 61, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 77, 61, 74 is 1.

Therefore, GCD of numbers 63, 77, 61, 74 is 1

Given Input Data is 63, 77, 61, 74

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 77 is 7 x 11

Prime Factorization of 61 is 61

Prime Factorization of 74 is 2 x 37

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(63, 77) = 693

GCD(63, 77) = ( 63 x 77 ) / 693

GCD(63, 77) = 4851 / 693

GCD(63, 77) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 61

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

LCM(7, 61) = 427

GCD(7, 61) = ( 7 x 61 ) / 427

GCD(7, 61) = 427 / 427

GCD(7, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 63, 77, 61, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 94, 30, 13
• GCD of 95, 60, 25, 84
• GCD of 68, 67, 99, 19
• GCD of 34, 41, 43, 51
• GCD of 32, 55, 82, 52

1. What is the GCD of 63, 77, 61, 74?

GCD of 63, 77, 61, 74 is 1

2. Where do I get the detailed procedure to find GCD of 63, 77, 61, 74?

You can find a detailed procedure to find GCD of 63, 77, 61, 74 on our page.

3. How to find GCD of 63, 77, 61, 74 on a calculator?

You can find the GCD of 63, 77, 61, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.