GCD of 51, 965, 171, 618 Calculator

Given Input numbers are 51, 965, 171, 618

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

Divisors of 51

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

1, 3, 17, 51

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 51, 965, 171, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 965, 171, 618 is 1.

Therefore, GCD of numbers 51, 965, 171, 618 is 1

Given Input Data is 51, 965, 171, 618

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 965 is 5 x 193

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 618 is 2 x 3 x 103

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(51, 965) = 49215

GCD(51, 965) = ( 51 x 965 ) / 49215

GCD(51, 965) = 49215 / 49215

GCD(51, 965) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

GCD of 51, 965, 171, 618 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 296, 564, 941
• GCD of 11, 908, 623, 206
• GCD of 19, 576, 545, 572
• GCD of 68, 323, 578, 305
• GCD of 42, 271, 227, 713

1. What is the GCD of 51, 965, 171, 618?

GCD of 51, 965, 171, 618 is 1

2. Where do I get the detailed procedure to find GCD of 51, 965, 171, 618?

You can find a detailed procedure to find GCD of 51, 965, 171, 618 on our page.

3. How to find GCD of 51, 965, 171, 618 on a calculator?

You can find the GCD of 51, 965, 171, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.