GCD of 315, 760, 92, 618 Calculator

Given Input numbers are 315, 760, 92, 618

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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 315, 760, 92, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 760, 92, 618 is 1.

Therefore, GCD of numbers 315, 760, 92, 618 is 1

Given Input Data is 315, 760, 92, 618

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 92 is 2 x 2 x 23

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(315, 760) = 47880

GCD(315, 760) = ( 315 x 760 ) / 47880

GCD(315, 760) = 239400 / 47880

GCD(315, 760) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 92

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

LCM(5, 92) = 460

GCD(5, 92) = ( 5 x 92 ) / 460

GCD(5, 92) = 460 / 460

GCD(5, 92) = 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 315, 760, 92, 618 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 668, 56, 330
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• GCD of 904, 900, 30, 934

1. What is the GCD of 315, 760, 92, 618?

GCD of 315, 760, 92, 618 is 1

2. Where do I get the detailed procedure to find GCD of 315, 760, 92, 618?

You can find a detailed procedure to find GCD of 315, 760, 92, 618 on our page.

3. How to find GCD of 315, 760, 92, 618 on a calculator?

You can find the GCD of 315, 760, 92, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.