GCD of 420, 261, 53, 347 Calculator

Given Input numbers are 420, 261, 53, 347

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 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Greatest Common Divisior

We found the divisors of 420, 261, 53, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 261, 53, 347 is 1.

Therefore, GCD of numbers 420, 261, 53, 347 is 1

Given Input Data is 420, 261, 53, 347

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 261 is 3 x 3 x 29

Prime Factorization of 53 is 53

Prime Factorization of 347 is 347

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, 261) = 36540

GCD(420, 261) = ( 420 x 261 ) / 36540

GCD(420, 261) = 109620 / 36540

GCD(420, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 347

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

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

GCD(1, 347) = 347 / 347

GCD(1, 347) = 1

GCD of 420, 261, 53, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 738, 90, 467
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• GCD of 439, 822, 66, 792

1. What is the GCD of 420, 261, 53, 347?

GCD of 420, 261, 53, 347 is 1

2. Where do I get the detailed procedure to find GCD of 420, 261, 53, 347?

You can find a detailed procedure to find GCD of 420, 261, 53, 347 on our page.

3. How to find GCD of 420, 261, 53, 347 on a calculator?

You can find the GCD of 420, 261, 53, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.