GCD of 256, 740, 750, 676 Calculator

Given Input numbers are 256, 740, 750, 676

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

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 256, 740, 750, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 740, 750, 676 is 2.

Therefore, GCD of numbers 256, 740, 750, 676 is 2

Given Input Data is 256, 740, 750, 676

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

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(256, 740) = 47360

GCD(256, 740) = ( 256 x 740 ) / 47360

GCD(256, 740) = 189440 / 47360

GCD(256, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 750

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

LCM(4, 750) = 1500

GCD(4, 750) = ( 4 x 750 ) / 1500

GCD(4, 750) = 3000 / 1500

GCD(4, 750) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

GCD of 256, 740, 750, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 475, 758, 666
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• GCD of 519, 418, 208, 716

1. What is the GCD of 256, 740, 750, 676?

GCD of 256, 740, 750, 676 is 2

2. Where do I get the detailed procedure to find GCD of 256, 740, 750, 676?

You can find a detailed procedure to find GCD of 256, 740, 750, 676 on our page.

3. How to find GCD of 256, 740, 750, 676 on a calculator?

You can find the GCD of 256, 740, 750, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.