GCD of 376, 730, 448, 984 Calculator

Given Input numbers are 376, 730, 448, 984

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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

Greatest Common Divisior

We found the divisors of 376, 730, 448, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 730, 448, 984 is 2.

Therefore, GCD of numbers 376, 730, 448, 984 is 2

Given Input Data is 376, 730, 448, 984

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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

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(376, 730) = 137240

GCD(376, 730) = ( 376 x 730 ) / 137240

GCD(376, 730) = 274480 / 137240

GCD(376, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 984

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

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

GCD(2, 984) = 1968 / 984

GCD(2, 984) = 2

GCD of 376, 730, 448, 984 is 2

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1. What is the GCD of 376, 730, 448, 984?

GCD of 376, 730, 448, 984 is 2

2. Where do I get the detailed procedure to find GCD of 376, 730, 448, 984?

You can find a detailed procedure to find GCD of 376, 730, 448, 984 on our page.

3. How to find GCD of 376, 730, 448, 984 on a calculator?

You can find the GCD of 376, 730, 448, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.