GCD of 840, 310, 467, 434 Calculator

Given Input numbers are 840, 310, 467, 434

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 840, 310, 467, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 310, 467, 434 is 1.

Therefore, GCD of numbers 840, 310, 467, 434 is 1

Given Input Data is 840, 310, 467, 434

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 467 is 467

Prime Factorization of 434 is 2 x 7 x 31

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(840, 310) = 26040

GCD(840, 310) = ( 840 x 310 ) / 26040

GCD(840, 310) = 260400 / 26040

GCD(840, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 467

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

LCM(10, 467) = 4670

GCD(10, 467) = ( 10 x 467 ) / 4670

GCD(10, 467) = 4670 / 4670

GCD(10, 467) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 840, 310, 467, 434 is 1

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• GCD of 393, 990, 410, 766
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1. What is the GCD of 840, 310, 467, 434?

GCD of 840, 310, 467, 434 is 1

2. Where do I get the detailed procedure to find GCD of 840, 310, 467, 434?

You can find a detailed procedure to find GCD of 840, 310, 467, 434 on our page.

3. How to find GCD of 840, 310, 467, 434 on a calculator?

You can find the GCD of 840, 310, 467, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.