GCD of 807, 402, 21, 111 Calculator

Given Input numbers are 807, 402, 21, 111

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 807, 402, 21, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 402, 21, 111 is 3.

Therefore, GCD of numbers 807, 402, 21, 111 is 3

Given Input Data is 807, 402, 21, 111

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 21 is 3 x 7

Prime Factorization of 111 is 3 x 37

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(807, 402) = 108138

GCD(807, 402) = ( 807 x 402 ) / 108138

GCD(807, 402) = 324414 / 108138

GCD(807, 402) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 111

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

LCM(3, 111) = 111

GCD(3, 111) = ( 3 x 111 ) / 111

GCD(3, 111) = 333 / 111

GCD(3, 111) = 3

GCD of 807, 402, 21, 111 is 3

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• GCD of 476, 141, 95, 273
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1. What is the GCD of 807, 402, 21, 111?

GCD of 807, 402, 21, 111 is 3

2. Where do I get the detailed procedure to find GCD of 807, 402, 21, 111?

You can find a detailed procedure to find GCD of 807, 402, 21, 111 on our page.

3. How to find GCD of 807, 402, 21, 111 on a calculator?

You can find the GCD of 807, 402, 21, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.