GCD of 896, 862, 740, 830 Calculator

Given Input numbers are 896, 862, 740, 830

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 862

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

1, 2, 431, 862

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 896, 862, 740, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 862, 740, 830 is 2.

Therefore, GCD of numbers 896, 862, 740, 830 is 2

Given Input Data is 896, 862, 740, 830

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 862 is 2 x 431

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 830 is 2 x 5 x 83

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(896, 862) = 386176

GCD(896, 862) = ( 896 x 862 ) / 386176

GCD(896, 862) = 772352 / 386176

GCD(896, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 740

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

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

GCD(2, 740) = 1480 / 740

GCD(2, 740) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

GCD of 896, 862, 740, 830 is 2

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1. What is the GCD of 896, 862, 740, 830?

GCD of 896, 862, 740, 830 is 2

2. Where do I get the detailed procedure to find GCD of 896, 862, 740, 830?

You can find a detailed procedure to find GCD of 896, 862, 740, 830 on our page.

3. How to find GCD of 896, 862, 740, 830 on a calculator?

You can find the GCD of 896, 862, 740, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.