GCD of 986, 976, 266, 101 Calculator

Given Input numbers are 986, 976, 266, 101

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 986, 976, 266, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 976, 266, 101 is 1.

Therefore, GCD of numbers 986, 976, 266, 101 is 1

Given Input Data is 986, 976, 266, 101

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 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 101 is 101

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, 976) = 481168

GCD(986, 976) = ( 986 x 976 ) / 481168

GCD(986, 976) = 962336 / 481168

GCD(986, 976) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 266

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

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

GCD(2, 266) = 532 / 266

GCD(2, 266) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 101

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

LCM(2, 101) = 202

GCD(2, 101) = ( 2 x 101 ) / 202

GCD(2, 101) = 202 / 202

GCD(2, 101) = 1

GCD of 986, 976, 266, 101 is 1

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1. What is the GCD of 986, 976, 266, 101?

GCD of 986, 976, 266, 101 is 1

2. Where do I get the detailed procedure to find GCD of 986, 976, 266, 101?

You can find a detailed procedure to find GCD of 986, 976, 266, 101 on our page.

3. How to find GCD of 986, 976, 266, 101 on a calculator?

You can find the GCD of 986, 976, 266, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.