GCD of 177, 994, 49, 676 Calculator

Given Input numbers are 177, 994, 49, 676

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

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 177, 994, 49, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 994, 49, 676 is 1.

Therefore, GCD of numbers 177, 994, 49, 676 is 1

Given Input Data is 177, 994, 49, 676

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 49 is 7 x 7

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(177, 994) = 175938

GCD(177, 994) = ( 177 x 994 ) / 175938

GCD(177, 994) = 175938 / 175938

GCD(177, 994) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 177, 994, 49, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 105, 84, 265
• GCD of 121, 472, 16, 717
• GCD of 899, 128, 10, 490
• GCD of 436, 795, 13, 628
• GCD of 317, 566, 66, 846

1. What is the GCD of 177, 994, 49, 676?

GCD of 177, 994, 49, 676 is 1

2. Where do I get the detailed procedure to find GCD of 177, 994, 49, 676?

You can find a detailed procedure to find GCD of 177, 994, 49, 676 on our page.

3. How to find GCD of 177, 994, 49, 676 on a calculator?

You can find the GCD of 177, 994, 49, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.