GCD of 402, 567, 830, 947 Calculator

Given Input numbers are 402, 567, 830, 947

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

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 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 402, 567, 830, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 567, 830, 947 is 1.

Therefore, GCD of numbers 402, 567, 830, 947 is 1

Given Input Data is 402, 567, 830, 947

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 947 is 947

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(402, 567) = 75978

GCD(402, 567) = ( 402 x 567 ) / 75978

GCD(402, 567) = 227934 / 75978

GCD(402, 567) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 830

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

LCM(3, 830) = 2490

GCD(3, 830) = ( 3 x 830 ) / 2490

GCD(3, 830) = 2490 / 2490

GCD(3, 830) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 402, 567, 830, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 133, 447, 547
• GCD of 484, 692, 614, 886
• GCD of 720, 700, 895, 370
• GCD of 508, 898, 505, 366
• GCD of 627, 639, 876, 887

1. What is the GCD of 402, 567, 830, 947?

GCD of 402, 567, 830, 947 is 1

2. Where do I get the detailed procedure to find GCD of 402, 567, 830, 947?

You can find a detailed procedure to find GCD of 402, 567, 830, 947 on our page.

3. How to find GCD of 402, 567, 830, 947 on a calculator?

You can find the GCD of 402, 567, 830, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.