GCD of 84, 762, 643, 469 Calculator

Given Input numbers are 84, 762, 643, 469

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 84, 762, 643, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 762, 643, 469 is 1.

Therefore, GCD of numbers 84, 762, 643, 469 is 1

Given Input Data is 84, 762, 643, 469

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 643 is 643

Prime Factorization of 469 is 7 x 67

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(84, 762) = 10668

GCD(84, 762) = ( 84 x 762 ) / 10668

GCD(84, 762) = 64008 / 10668

GCD(84, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 643

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

LCM(6, 643) = 3858

GCD(6, 643) = ( 6 x 643 ) / 3858

GCD(6, 643) = 3858 / 3858

GCD(6, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 84, 762, 643, 469 is 1

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• GCD of 34, 548, 859, 137
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1. What is the GCD of 84, 762, 643, 469?

GCD of 84, 762, 643, 469 is 1

2. Where do I get the detailed procedure to find GCD of 84, 762, 643, 469?

You can find a detailed procedure to find GCD of 84, 762, 643, 469 on our page.

3. How to find GCD of 84, 762, 643, 469 on a calculator?

You can find the GCD of 84, 762, 643, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.