GCD of 420, 263, 14, 913 Calculator

Given Input numbers are 420, 263, 14, 913

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 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 420, 263, 14, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 263, 14, 913 is 1.

Therefore, GCD of numbers 420, 263, 14, 913 is 1

Given Input Data is 420, 263, 14, 913

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 263 is 263

Prime Factorization of 14 is 2 x 7

Prime Factorization of 913 is 11 x 83

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, 263) = 110460

GCD(420, 263) = ( 420 x 263 ) / 110460

GCD(420, 263) = 110460 / 110460

GCD(420, 263) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

GCD of 420, 263, 14, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 683, 79, 273
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• GCD of 161, 325, 57, 767
• GCD of 472, 504, 29, 852
• GCD of 596, 987, 35, 649

1. What is the GCD of 420, 263, 14, 913?

GCD of 420, 263, 14, 913 is 1

2. Where do I get the detailed procedure to find GCD of 420, 263, 14, 913?

You can find a detailed procedure to find GCD of 420, 263, 14, 913 on our page.

3. How to find GCD of 420, 263, 14, 913 on a calculator?

You can find the GCD of 420, 263, 14, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.