GCD of 736, 914, 706, 712 Calculator

Given Input numbers are 736, 914, 706, 712

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 736, 914, 706, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 914, 706, 712 is 2.

Therefore, GCD of numbers 736, 914, 706, 712 is 2

Given Input Data is 736, 914, 706, 712

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 914 is 2 x 457

Prime Factorization of 706 is 2 x 353

Prime Factorization of 712 is 2 x 2 x 2 x 89

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, 914) = 336352

GCD(736, 914) = ( 736 x 914 ) / 336352

GCD(736, 914) = 672704 / 336352

GCD(736, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

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

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 712

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

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

GCD(2, 712) = 1424 / 712

GCD(2, 712) = 2

GCD of 736, 914, 706, 712 is 2

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1. What is the GCD of 736, 914, 706, 712?

GCD of 736, 914, 706, 712 is 2

2. Where do I get the detailed procedure to find GCD of 736, 914, 706, 712?

You can find a detailed procedure to find GCD of 736, 914, 706, 712 on our page.

3. How to find GCD of 736, 914, 706, 712 on a calculator?

You can find the GCD of 736, 914, 706, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.