GCD of 762, 678, 84 Calculator

Given Input numbers are 762, 678, 84

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

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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

Greatest Common Divisior

We found the divisors of 762, 678, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 678, 84 is 6.

Therefore, GCD of numbers 762, 678, 84 is 6

Given Input Data is 762, 678, 84

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 678 is 2 x 3 x 113

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(762, 678) = 86106

GCD(762, 678) = ( 762 x 678 ) / 86106

GCD(762, 678) = 516636 / 86106

GCD(762, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 84

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

LCM(6, 84) = 84

GCD(6, 84) = ( 6 x 84 ) / 84

GCD(6, 84) = 504 / 84

GCD(6, 84) = 6

GCD of 762, 678, 84 is 6

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1. What is the GCD of 762, 678, 84?

GCD of 762, 678, 84 is 6

2. Where do I get the detailed procedure to find GCD of 762, 678, 84?

You can find a detailed procedure to find GCD of 762, 678, 84 on our page.

3. How to find GCD of 762, 678, 84 on a calculator?

You can find the GCD of 762, 678, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.