GCD of 71, 430, 420, 701 Calculator

Given Input numbers are 71, 430, 420, 701

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

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 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 71, 430, 420, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 430, 420, 701 is 1.

Therefore, GCD of numbers 71, 430, 420, 701 is 1

Given Input Data is 71, 430, 420, 701

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

Prime Factorization of 71 is 71

Prime Factorization of 430 is 2 x 5 x 43

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

Prime Factorization of 701 is 701

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(71, 430) = 30530

GCD(71, 430) = ( 71 x 430 ) / 30530

GCD(71, 430) = 30530 / 30530

GCD(71, 430) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

GCD of 71, 430, 420, 701 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 813, 507, 249
• GCD of 23, 613, 803, 445
• GCD of 47, 632, 929, 548
• GCD of 72, 917, 720, 489
• GCD of 88, 349, 737, 335

1. What is the GCD of 71, 430, 420, 701?

GCD of 71, 430, 420, 701 is 1

2. Where do I get the detailed procedure to find GCD of 71, 430, 420, 701?

You can find a detailed procedure to find GCD of 71, 430, 420, 701 on our page.

3. How to find GCD of 71, 430, 420, 701 on a calculator?

You can find the GCD of 71, 430, 420, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.