GCD of 842, 914, 145, 802 Calculator

Given Input numbers are 842, 914, 145, 802

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 914

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

1, 2, 457, 914

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 842, 914, 145, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 914, 145, 802 is 1.

Therefore, GCD of numbers 842, 914, 145, 802 is 1

Given Input Data is 842, 914, 145, 802

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 914 is 2 x 457

Prime Factorization of 145 is 5 x 29

Prime Factorization of 802 is 2 x 401

The above numbers do not have any common prime factor. So GCD is 1

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(842, 914) = 384794

GCD(842, 914) = ( 842 x 914 ) / 384794

GCD(842, 914) = 769588 / 384794

GCD(842, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 842, 914, 145, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 140, 178, 493
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• GCD of 300, 675, 934, 148
• GCD of 113, 307, 862, 227
• GCD of 520, 508, 895, 278

1. What is the GCD of 842, 914, 145, 802?

GCD of 842, 914, 145, 802 is 1

2. Where do I get the detailed procedure to find GCD of 842, 914, 145, 802?

You can find a detailed procedure to find GCD of 842, 914, 145, 802 on our page.

3. How to find GCD of 842, 914, 145, 802 on a calculator?

You can find the GCD of 842, 914, 145, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.