GCD of 736, 862, 562, 696 Calculator

Given Input numbers are 736, 862, 562, 696

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 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 736, 862, 562, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 862, 562, 696 is 2.

Therefore, GCD of numbers 736, 862, 562, 696 is 2

Given Input Data is 736, 862, 562, 696

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 862 is 2 x 431

Prime Factorization of 562 is 2 x 281

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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, 862) = 317216

GCD(736, 862) = ( 736 x 862 ) / 317216

GCD(736, 862) = 634432 / 317216

GCD(736, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

GCD of 736, 862, 562, 696 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 578, 355, 914
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• GCD of 783, 280, 431, 344
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• GCD of 203, 762, 938, 917

1. What is the GCD of 736, 862, 562, 696?

GCD of 736, 862, 562, 696 is 2

2. Where do I get the detailed procedure to find GCD of 736, 862, 562, 696?

You can find a detailed procedure to find GCD of 736, 862, 562, 696 on our page.

3. How to find GCD of 736, 862, 562, 696 on a calculator?

You can find the GCD of 736, 862, 562, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.