GCD of 618, 972, 63, 301 Calculator

Given Input numbers are 618, 972, 63, 301

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

Divisors of 618

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

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 618, 972, 63, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 972, 63, 301 is 1.

Therefore, GCD of numbers 618, 972, 63, 301 is 1

Given Input Data is 618, 972, 63, 301

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

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 301 is 7 x 43

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(618, 972) = 100116

GCD(618, 972) = ( 618 x 972 ) / 100116

GCD(618, 972) = 600696 / 100116

GCD(618, 972) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 63

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

LCM(6, 63) = 126

GCD(6, 63) = ( 6 x 63 ) / 126

GCD(6, 63) = 378 / 126

GCD(6, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 301

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

LCM(3, 301) = 903

GCD(3, 301) = ( 3 x 301 ) / 903

GCD(3, 301) = 903 / 903

GCD(3, 301) = 1

GCD of 618, 972, 63, 301 is 1

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• GCD of 265, 858, 80, 657
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1. What is the GCD of 618, 972, 63, 301?

GCD of 618, 972, 63, 301 is 1

2. Where do I get the detailed procedure to find GCD of 618, 972, 63, 301?

You can find a detailed procedure to find GCD of 618, 972, 63, 301 on our page.

3. How to find GCD of 618, 972, 63, 301 on a calculator?

You can find the GCD of 618, 972, 63, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.