GCD of 340, 248, 984, 454 Calculator

Given Input numbers are 340, 248, 984, 454

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

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 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 340, 248, 984, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 248, 984, 454 is 2.

Therefore, GCD of numbers 340, 248, 984, 454 is 2

Given Input Data is 340, 248, 984, 454

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 248 is 2 x 2 x 2 x 31

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

Prime Factorization of 454 is 2 x 227

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(340, 248) = 21080

GCD(340, 248) = ( 340 x 248 ) / 21080

GCD(340, 248) = 84320 / 21080

GCD(340, 248) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 984

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

LCM(4, 984) = 984

GCD(4, 984) = ( 4 x 984 ) / 984

GCD(4, 984) = 3936 / 984

GCD(4, 984) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 454

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

LCM(4, 454) = 908

GCD(4, 454) = ( 4 x 454 ) / 908

GCD(4, 454) = 1816 / 908

GCD(4, 454) = 2

GCD of 340, 248, 984, 454 is 2

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1. What is the GCD of 340, 248, 984, 454?

GCD of 340, 248, 984, 454 is 2

2. Where do I get the detailed procedure to find GCD of 340, 248, 984, 454?

You can find a detailed procedure to find GCD of 340, 248, 984, 454 on our page.

3. How to find GCD of 340, 248, 984, 454 on a calculator?

You can find the GCD of 340, 248, 984, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.