GCD of 456, 380, 74, 748 Calculator

Given Input numbers are 456, 380, 74, 748

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 456, 380, 74, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 380, 74, 748 is 2.

Therefore, GCD of numbers 456, 380, 74, 748 is 2

Given Input Data is 456, 380, 74, 748

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 74 is 2 x 37

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(456, 380) = 2280

GCD(456, 380) = ( 456 x 380 ) / 2280

GCD(456, 380) = 173280 / 2280

GCD(456, 380) = 76

Step2:

Here we consider the GCD from the above i.e. 76 as first number and the next as 74

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

LCM(76, 74) = 2812

GCD(76, 74) = ( 76 x 74 ) / 2812

GCD(76, 74) = 5624 / 2812

GCD(76, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 456, 380, 74, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 507, 74, 295
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• GCD of 728, 310, 15, 784

1. What is the GCD of 456, 380, 74, 748?

GCD of 456, 380, 74, 748 is 2

2. Where do I get the detailed procedure to find GCD of 456, 380, 74, 748?

You can find a detailed procedure to find GCD of 456, 380, 74, 748 on our page.

3. How to find GCD of 456, 380, 74, 748 on a calculator?

You can find the GCD of 456, 380, 74, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.