GCD of 986, 776, 21, 126 Calculator

Given Input numbers are 986, 776, 21, 126

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 986, 776, 21, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 776, 21, 126 is 1.

Therefore, GCD of numbers 986, 776, 21, 126 is 1

Given Input Data is 986, 776, 21, 126

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 21 is 3 x 7

Prime Factorization of 126 is 2 x 3 x 3 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(986, 776) = 382568

GCD(986, 776) = ( 986 x 776 ) / 382568

GCD(986, 776) = 765136 / 382568

GCD(986, 776) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 986, 776, 21, 126 is 1

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• GCD of 141, 906, 72, 556
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1. What is the GCD of 986, 776, 21, 126?

GCD of 986, 776, 21, 126 is 1

2. Where do I get the detailed procedure to find GCD of 986, 776, 21, 126?

You can find a detailed procedure to find GCD of 986, 776, 21, 126 on our page.

3. How to find GCD of 986, 776, 21, 126 on a calculator?

You can find the GCD of 986, 776, 21, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.