GCD of 862, 410, 713, 978 Calculator

Given Input numbers are 862, 410, 713, 978

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 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 862, 410, 713, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 410, 713, 978 is 1.

Therefore, GCD of numbers 862, 410, 713, 978 is 1

Given Input Data is 862, 410, 713, 978

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 713 is 23 x 31

Prime Factorization of 978 is 2 x 3 x 163

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, 410) = 176710

GCD(862, 410) = ( 862 x 410 ) / 176710

GCD(862, 410) = 353420 / 176710

GCD(862, 410) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 713

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

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

GCD(2, 713) = 1426 / 1426

GCD(2, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 862, 410, 713, 978 is 1

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1. What is the GCD of 862, 410, 713, 978?

GCD of 862, 410, 713, 978 is 1

2. Where do I get the detailed procedure to find GCD of 862, 410, 713, 978?

You can find a detailed procedure to find GCD of 862, 410, 713, 978 on our page.

3. How to find GCD of 862, 410, 713, 978 on a calculator?

You can find the GCD of 862, 410, 713, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.