GCD of 706, 783, 105, 978 Calculator

Given Input numbers are 706, 783, 105, 978

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

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 706, 783, 105, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 783, 105, 978 is 1.

Therefore, GCD of numbers 706, 783, 105, 978 is 1

Given Input Data is 706, 783, 105, 978

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 105 is 3 x 5 x 7

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(706, 783) = 552798

GCD(706, 783) = ( 706 x 783 ) / 552798

GCD(706, 783) = 552798 / 552798

GCD(706, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 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 706, 783, 105, 978 is 1

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1. What is the GCD of 706, 783, 105, 978?

GCD of 706, 783, 105, 978 is 1

2. Where do I get the detailed procedure to find GCD of 706, 783, 105, 978?

You can find a detailed procedure to find GCD of 706, 783, 105, 978 on our page.

3. How to find GCD of 706, 783, 105, 978 on a calculator?

You can find the GCD of 706, 783, 105, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.