GCD of 862, 340, 141, 576 Calculator

Given Input numbers are 862, 340, 141, 576

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 862, 340, 141, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 340, 141, 576 is 1.

Therefore, GCD of numbers 862, 340, 141, 576 is 1

Given Input Data is 862, 340, 141, 576

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 141 is 3 x 47

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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, 340) = 146540

GCD(862, 340) = ( 862 x 340 ) / 146540

GCD(862, 340) = 293080 / 146540

GCD(862, 340) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 141

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

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

GCD(2, 141) = 282 / 282

GCD(2, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

GCD of 862, 340, 141, 576 is 1

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1. What is the GCD of 862, 340, 141, 576?

GCD of 862, 340, 141, 576 is 1

2. Where do I get the detailed procedure to find GCD of 862, 340, 141, 576?

You can find a detailed procedure to find GCD of 862, 340, 141, 576 on our page.

3. How to find GCD of 862, 340, 141, 576 on a calculator?

You can find the GCD of 862, 340, 141, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.