GCD of 105, 976, 84, 243 Calculator

Given Input numbers are 105, 976, 84, 243

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

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 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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 105, 976, 84, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 976, 84, 243 is 1.

Therefore, GCD of numbers 105, 976, 84, 243 is 1

Given Input Data is 105, 976, 84, 243

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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(105, 976) = 102480

GCD(105, 976) = ( 105 x 976 ) / 102480

GCD(105, 976) = 102480 / 102480

GCD(105, 976) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 105, 976, 84, 243 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 826, 49, 368
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• GCD of 793, 166, 28, 561
• GCD of 614, 971, 41, 877
• GCD of 891, 510, 55, 127

1. What is the GCD of 105, 976, 84, 243?

GCD of 105, 976, 84, 243 is 1

2. Where do I get the detailed procedure to find GCD of 105, 976, 84, 243?

You can find a detailed procedure to find GCD of 105, 976, 84, 243 on our page.

3. How to find GCD of 105, 976, 84, 243 on a calculator?

You can find the GCD of 105, 976, 84, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.