GCD of 967, 684, 808, 419 Calculator

Given Input numbers are 967, 684, 808, 419

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 967, 684, 808, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 684, 808, 419 is 1.

Therefore, GCD of numbers 967, 684, 808, 419 is 1

Given Input Data is 967, 684, 808, 419

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

Prime Factorization of 967 is 967

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 419 is 419

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(967, 684) = 661428

GCD(967, 684) = ( 967 x 684 ) / 661428

GCD(967, 684) = 661428 / 661428

GCD(967, 684) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 419

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

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

GCD(1, 419) = 419 / 419

GCD(1, 419) = 1

GCD of 967, 684, 808, 419 is 1

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• GCD of 502, 101, 324, 853
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• GCD of 182, 302, 442, 612
• GCD of 382, 976, 390, 981

1. What is the GCD of 967, 684, 808, 419?

GCD of 967, 684, 808, 419 is 1

2. Where do I get the detailed procedure to find GCD of 967, 684, 808, 419?

You can find a detailed procedure to find GCD of 967, 684, 808, 419 on our page.

3. How to find GCD of 967, 684, 808, 419 on a calculator?

You can find the GCD of 967, 684, 808, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.