GCD of 979, 716, 414, 786 Calculator

Given Input numbers are 979, 716, 414, 786

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

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 979, 716, 414, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 716, 414, 786 is 1.

Therefore, GCD of numbers 979, 716, 414, 786 is 1

Given Input Data is 979, 716, 414, 786

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 786 is 2 x 3 x 131

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(979, 716) = 700964

GCD(979, 716) = ( 979 x 716 ) / 700964

GCD(979, 716) = 700964 / 700964

GCD(979, 716) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 979, 716, 414, 786 is 1

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1. What is the GCD of 979, 716, 414, 786?

GCD of 979, 716, 414, 786 is 1

2. Where do I get the detailed procedure to find GCD of 979, 716, 414, 786?

You can find a detailed procedure to find GCD of 979, 716, 414, 786 on our page.

3. How to find GCD of 979, 716, 414, 786 on a calculator?

You can find the GCD of 979, 716, 414, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.