GCD of 736, 514, 680, 302 Calculator

Given Input numbers are 736, 514, 680, 302

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 736, 514, 680, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 514, 680, 302 is 2.

Therefore, GCD of numbers 736, 514, 680, 302 is 2

Given Input Data is 736, 514, 680, 302

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 514 is 2 x 257

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 302 is 2 x 151

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(736, 514) = 189152

GCD(736, 514) = ( 736 x 514 ) / 189152

GCD(736, 514) = 378304 / 189152

GCD(736, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 302

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

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

GCD(2, 302) = 604 / 302

GCD(2, 302) = 2

GCD of 736, 514, 680, 302 is 2

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• GCD of 269, 596, 115, 450
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• GCD of 521, 214, 655, 634

1. What is the GCD of 736, 514, 680, 302?

GCD of 736, 514, 680, 302 is 2

2. Where do I get the detailed procedure to find GCD of 736, 514, 680, 302?

You can find a detailed procedure to find GCD of 736, 514, 680, 302 on our page.

3. How to find GCD of 736, 514, 680, 302 on a calculator?

You can find the GCD of 736, 514, 680, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.