GCD of 307, 366, 948, 618 Calculator

Given Input numbers are 307, 366, 948, 618

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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 307, 366, 948, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 366, 948, 618 is 1.

Therefore, GCD of numbers 307, 366, 948, 618 is 1

Given Input Data is 307, 366, 948, 618

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

Prime Factorization of 307 is 307

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(307, 366) = 112362

GCD(307, 366) = ( 307 x 366 ) / 112362

GCD(307, 366) = 112362 / 112362

GCD(307, 366) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 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 307, 366, 948, 618 is 1

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1. What is the GCD of 307, 366, 948, 618?

GCD of 307, 366, 948, 618 is 1

2. Where do I get the detailed procedure to find GCD of 307, 366, 948, 618?

You can find a detailed procedure to find GCD of 307, 366, 948, 618 on our page.

3. How to find GCD of 307, 366, 948, 618 on a calculator?

You can find the GCD of 307, 366, 948, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.