GCD of 177, 420, 34, 953 Calculator

Given Input numbers are 177, 420, 34, 953

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 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 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 177, 420, 34, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 420, 34, 953 is 1.

Therefore, GCD of numbers 177, 420, 34, 953 is 1

Given Input Data is 177, 420, 34, 953

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

Prime Factorization of 177 is 3 x 59

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 953 is 953

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, 420) = 24780

GCD(177, 420) = ( 177 x 420 ) / 24780

GCD(177, 420) = 74340 / 24780

GCD(177, 420) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 34

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

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

GCD(3, 34) = 102 / 102

GCD(3, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 177, 420, 34, 953 is 1

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1. What is the GCD of 177, 420, 34, 953?

GCD of 177, 420, 34, 953 is 1

2. Where do I get the detailed procedure to find GCD of 177, 420, 34, 953?

You can find a detailed procedure to find GCD of 177, 420, 34, 953 on our page.

3. How to find GCD of 177, 420, 34, 953 on a calculator?

You can find the GCD of 177, 420, 34, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.