GCD of 62, 21, 71, 78 Calculator

Given Input numbers are 62, 21, 71, 78

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

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 21

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

1, 3, 7, 21

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Greatest Common Divisior

We found the divisors of 62, 21, 71, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 21, 71, 78 is 1.

Therefore, GCD of numbers 62, 21, 71, 78 is 1

Given Input Data is 62, 21, 71, 78

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

Prime Factorization of 62 is 2 x 31

Prime Factorization of 21 is 3 x 7

Prime Factorization of 71 is 71

Prime Factorization of 78 is 2 x 3 x 13

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(62, 21) = 1302

GCD(62, 21) = ( 62 x 21 ) / 1302

GCD(62, 21) = 1302 / 1302

GCD(62, 21) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

GCD of 62, 21, 71, 78 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 38, 31, 56
• GCD of 51, 63, 49, 55
• GCD of 99, 90, 58, 33
• GCD of 67, 55, 40, 31
• GCD of 20, 85, 11, 49

1. What is the GCD of 62, 21, 71, 78?

GCD of 62, 21, 71, 78 is 1

2. Where do I get the detailed procedure to find GCD of 62, 21, 71, 78?

You can find a detailed procedure to find GCD of 62, 21, 71, 78 on our page.

3. How to find GCD of 62, 21, 71, 78 on a calculator?

You can find the GCD of 62, 21, 71, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.