GCD of 102, 754, 95, 165 Calculator

Given Input numbers are 102, 754, 95, 165

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 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 102, 754, 95, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 754, 95, 165 is 1.

Therefore, GCD of numbers 102, 754, 95, 165 is 1

Given Input Data is 102, 754, 95, 165

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 754 is 2 x 13 x 29

Prime Factorization of 95 is 5 x 19

Prime Factorization of 165 is 3 x 5 x 11

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, 754) = 38454

GCD(102, 754) = ( 102 x 754 ) / 38454

GCD(102, 754) = 76908 / 38454

GCD(102, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

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

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 102, 754, 95, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 348, 20, 315
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• GCD of 550, 492, 81, 102
• GCD of 817, 351, 34, 829
• GCD of 293, 155, 85, 182

1. What is the GCD of 102, 754, 95, 165?

GCD of 102, 754, 95, 165 is 1

2. Where do I get the detailed procedure to find GCD of 102, 754, 95, 165?

You can find a detailed procedure to find GCD of 102, 754, 95, 165 on our page.

3. How to find GCD of 102, 754, 95, 165 on a calculator?

You can find the GCD of 102, 754, 95, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.