GCD of 420, 385, 26, 177 Calculator

Given Input numbers are 420, 385, 26, 177

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 177

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

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 420, 385, 26, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 385, 26, 177 is 1.

Therefore, GCD of numbers 420, 385, 26, 177 is 1

Given Input Data is 420, 385, 26, 177

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 26 is 2 x 13

Prime Factorization of 177 is 3 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(420, 385) = 4620

GCD(420, 385) = ( 420 x 385 ) / 4620

GCD(420, 385) = 161700 / 4620

GCD(420, 385) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 26

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

LCM(35, 26) = 910

GCD(35, 26) = ( 35 x 26 ) / 910

GCD(35, 26) = 910 / 910

GCD(35, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

GCD of 420, 385, 26, 177 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 295, 48, 259
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• GCD of 675, 541, 83, 898

1. What is the GCD of 420, 385, 26, 177?

GCD of 420, 385, 26, 177 is 1

2. Where do I get the detailed procedure to find GCD of 420, 385, 26, 177?

You can find a detailed procedure to find GCD of 420, 385, 26, 177 on our page.

3. How to find GCD of 420, 385, 26, 177 on a calculator?

You can find the GCD of 420, 385, 26, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.