GCD of 62, 8, 51, 14 Calculator

Given Input numbers are 62, 8, 51, 14

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 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 51

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

1, 3, 17, 51

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 62, 8, 51, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 8, 51, 14 is 1.

Therefore, GCD of numbers 62, 8, 51, 14 is 1

Given Input Data is 62, 8, 51, 14

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

Prime Factorization of 62 is 2 x 31

Prime Factorization of 8 is 2 x 2 x 2

Prime Factorization of 51 is 3 x 17

Prime Factorization of 14 is 2 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(62, 8) = 248

GCD(62, 8) = ( 62 x 8 ) / 248

GCD(62, 8) = 496 / 248

GCD(62, 8) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 62, 8, 51, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 4, 63, 42
• GCD of 66, 6, 24, 28
• GCD of 14, 3, 52, 55
• GCD of 73, 4, 84, 87
• GCD of 13, 8, 16, 68

1. What is the GCD of 62, 8, 51, 14?

GCD of 62, 8, 51, 14 is 1

2. Where do I get the detailed procedure to find GCD of 62, 8, 51, 14?

You can find a detailed procedure to find GCD of 62, 8, 51, 14 on our page.

3. How to find GCD of 62, 8, 51, 14 on a calculator?

You can find the GCD of 62, 8, 51, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.