GCD of 76, 210, 103, 288 Calculator

Given Input numbers are 76, 210, 103, 288

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 76, 210, 103, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 210, 103, 288 is 1.

Therefore, GCD of numbers 76, 210, 103, 288 is 1

Given Input Data is 76, 210, 103, 288

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 103 is 103

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(76, 210) = 7980

GCD(76, 210) = ( 76 x 210 ) / 7980

GCD(76, 210) = 15960 / 7980

GCD(76, 210) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 103

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

LCM(2, 103) = 206

GCD(2, 103) = ( 2 x 103 ) / 206

GCD(2, 103) = 206 / 206

GCD(2, 103) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 76, 210, 103, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 871, 648, 168
• GCD of 73, 449, 548, 803
• GCD of 94, 145, 941, 213
• GCD of 36, 636, 895, 655
• GCD of 41, 532, 608, 314

1. What is the GCD of 76, 210, 103, 288?

GCD of 76, 210, 103, 288 is 1

2. Where do I get the detailed procedure to find GCD of 76, 210, 103, 288?

You can find a detailed procedure to find GCD of 76, 210, 103, 288 on our page.

3. How to find GCD of 76, 210, 103, 288 on a calculator?

You can find the GCD of 76, 210, 103, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.