GCD of 736, 834, 694, 716 Calculator

Given Input numbers are 736, 834, 694, 716

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 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 736, 834, 694, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 834, 694, 716 is 2.

Therefore, GCD of numbers 736, 834, 694, 716 is 2

Given Input Data is 736, 834, 694, 716

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 834 is 2 x 3 x 139

Prime Factorization of 694 is 2 x 347

Prime Factorization of 716 is 2 x 2 x 179

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, 834) = 306912

GCD(736, 834) = ( 736 x 834 ) / 306912

GCD(736, 834) = 613824 / 306912

GCD(736, 834) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 716

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

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

GCD(2, 716) = 1432 / 716

GCD(2, 716) = 2

GCD of 736, 834, 694, 716 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 342, 322, 372
• GCD of 302, 919, 305, 165
• GCD of 356, 149, 108, 802
• GCD of 567, 970, 599, 803
• GCD of 238, 143, 279, 404

1. What is the GCD of 736, 834, 694, 716?

GCD of 736, 834, 694, 716 is 2

2. Where do I get the detailed procedure to find GCD of 736, 834, 694, 716?

You can find a detailed procedure to find GCD of 736, 834, 694, 716 on our page.

3. How to find GCD of 736, 834, 694, 716 on a calculator?

You can find the GCD of 736, 834, 694, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.