GCD of 615, 123, 984, 348 Calculator

Given Input numbers are 615, 123, 984, 348

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

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 615, 123, 984, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 615, 123, 984, 348 is 3.

Therefore, GCD of numbers 615, 123, 984, 348 is 3

Given Input Data is 615, 123, 984, 348

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

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 123 is 3 x 41

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 348 is 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(615, 123) = 615

GCD(615, 123) = ( 615 x 123 ) / 615

GCD(615, 123) = 75645 / 615

GCD(615, 123) = 123

Step2:

Here we consider the GCD from the above i.e. 123 as first number and the next as 984

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

LCM(123, 984) = 984

GCD(123, 984) = ( 123 x 984 ) / 984

GCD(123, 984) = 121032 / 984

GCD(123, 984) = 123

Step3:

Here we consider the GCD from the above i.e. 123 as first number and the next as 348

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

LCM(123, 348) = 14268

GCD(123, 348) = ( 123 x 348 ) / 14268

GCD(123, 348) = 42804 / 14268

GCD(123, 348) = 3

GCD of 615, 123, 984, 348 is 3

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1. What is the GCD of 615, 123, 984, 348?

GCD of 615, 123, 984, 348 is 3

2. Where do I get the detailed procedure to find GCD of 615, 123, 984, 348?

You can find a detailed procedure to find GCD of 615, 123, 984, 348 on our page.

3. How to find GCD of 615, 123, 984, 348 on a calculator?

You can find the GCD of 615, 123, 984, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.