GCD of 658, 103, 73, 100 Calculator

Given Input numbers are 658, 103, 73, 100

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 103

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

1, 103

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 658, 103, 73, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 103, 73, 100 is 1.

Therefore, GCD of numbers 658, 103, 73, 100 is 1

Given Input Data is 658, 103, 73, 100

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 103 is 103

Prime Factorization of 73 is 73

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(658, 103) = 67774

GCD(658, 103) = ( 658 x 103 ) / 67774

GCD(658, 103) = 67774 / 67774

GCD(658, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 658, 103, 73, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 614, 67, 156
• GCD of 390, 242, 73, 913
• GCD of 719, 522, 60, 469
• GCD of 324, 603, 71, 334
• GCD of 801, 289, 86, 213

1. What is the GCD of 658, 103, 73, 100?

GCD of 658, 103, 73, 100 is 1

2. Where do I get the detailed procedure to find GCD of 658, 103, 73, 100?

You can find a detailed procedure to find GCD of 658, 103, 73, 100 on our page.

3. How to find GCD of 658, 103, 73, 100 on a calculator?

You can find the GCD of 658, 103, 73, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.