GCD of 176, 196, 51, 826 Calculator

Given Input numbers are 176, 196, 51, 826

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 176, 196, 51, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 196, 51, 826 is 1.

Therefore, GCD of numbers 176, 196, 51, 826 is 1

Given Input Data is 176, 196, 51, 826

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 51 is 3 x 17

Prime Factorization of 826 is 2 x 7 x 59

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(176, 196) = 8624

GCD(176, 196) = ( 176 x 196 ) / 8624

GCD(176, 196) = 34496 / 8624

GCD(176, 196) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 51

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

LCM(4, 51) = 204

GCD(4, 51) = ( 4 x 51 ) / 204

GCD(4, 51) = 204 / 204

GCD(4, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 176, 196, 51, 826 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 403, 54, 233
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• GCD of 857, 633, 16, 981
• GCD of 359, 661, 38, 271
• GCD of 737, 362, 45, 278

1. What is the GCD of 176, 196, 51, 826?

GCD of 176, 196, 51, 826 is 1

2. Where do I get the detailed procedure to find GCD of 176, 196, 51, 826?

You can find a detailed procedure to find GCD of 176, 196, 51, 826 on our page.

3. How to find GCD of 176, 196, 51, 826 on a calculator?

You can find the GCD of 176, 196, 51, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.