GCD of 760, 514, 34, 308 Calculator

Given Input numbers are 760, 514, 34, 308

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 514

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

1, 2, 257, 514

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 760, 514, 34, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 514, 34, 308 is 2.

Therefore, GCD of numbers 760, 514, 34, 308 is 2

Given Input Data is 760, 514, 34, 308

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 514 is 2 x 257

Prime Factorization of 34 is 2 x 17

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(760, 514) = 195320

GCD(760, 514) = ( 760 x 514 ) / 195320

GCD(760, 514) = 390640 / 195320

GCD(760, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 308

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

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

GCD(2, 308) = 616 / 308

GCD(2, 308) = 2

GCD of 760, 514, 34, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 236, 91, 203
• GCD of 623, 601, 12, 528
• GCD of 925, 519, 66, 814
• GCD of 987, 104, 61, 628
• GCD of 676, 756, 14, 841

1. What is the GCD of 760, 514, 34, 308?

GCD of 760, 514, 34, 308 is 2

2. Where do I get the detailed procedure to find GCD of 760, 514, 34, 308?

You can find a detailed procedure to find GCD of 760, 514, 34, 308 on our page.

3. How to find GCD of 760, 514, 34, 308 on a calculator?

You can find the GCD of 760, 514, 34, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.