GCD of 102, 780, 74, 145 Calculator

Given Input numbers are 102, 780, 74, 145

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 74

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

1, 2, 37, 74

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 102, 780, 74, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 780, 74, 145 is 1.

Therefore, GCD of numbers 102, 780, 74, 145 is 1

Given Input Data is 102, 780, 74, 145

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 74 is 2 x 37

Prime Factorization of 145 is 5 x 29

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(102, 780) = 13260

GCD(102, 780) = ( 102 x 780 ) / 13260

GCD(102, 780) = 79560 / 13260

GCD(102, 780) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 74

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

LCM(6, 74) = 222

GCD(6, 74) = ( 6 x 74 ) / 222

GCD(6, 74) = 444 / 222

GCD(6, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1

GCD of 102, 780, 74, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 809, 66, 854
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1. What is the GCD of 102, 780, 74, 145?

GCD of 102, 780, 74, 145 is 1

2. Where do I get the detailed procedure to find GCD of 102, 780, 74, 145?

You can find a detailed procedure to find GCD of 102, 780, 74, 145 on our page.

3. How to find GCD of 102, 780, 74, 145 on a calculator?

You can find the GCD of 102, 780, 74, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.