GCD of 862, 674, 36, 343 Calculator

Given Input numbers are 862, 674, 36, 343

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

Divisors of 862

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

1, 2, 431, 862

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 862, 674, 36, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 674, 36, 343 is 1.

Therefore, GCD of numbers 862, 674, 36, 343 is 1

Given Input Data is 862, 674, 36, 343

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 674 is 2 x 337

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 343 is 7 x 7 x 7

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(862, 674) = 290494

GCD(862, 674) = ( 862 x 674 ) / 290494

GCD(862, 674) = 580988 / 290494

GCD(862, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 343

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

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

GCD(2, 343) = 686 / 686

GCD(2, 343) = 1

GCD of 862, 674, 36, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 333, 73, 588
• GCD of 986, 419, 87, 184
• GCD of 737, 390, 86, 503
• GCD of 958, 579, 72, 981
• GCD of 117, 464, 77, 311

1. What is the GCD of 862, 674, 36, 343?

GCD of 862, 674, 36, 343 is 1

2. Where do I get the detailed procedure to find GCD of 862, 674, 36, 343?

You can find a detailed procedure to find GCD of 862, 674, 36, 343 on our page.

3. How to find GCD of 862, 674, 36, 343 on a calculator?

You can find the GCD of 862, 674, 36, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.