GCD of 932, 782, 420 Calculator

Given Input numbers are 932, 782, 420

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

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 932, 782, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 782, 420 is 2.

Therefore, GCD of numbers 932, 782, 420 is 2

Given Input Data is 932, 782, 420

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

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(932, 782) = 364412

GCD(932, 782) = ( 932 x 782 ) / 364412

GCD(932, 782) = 728824 / 364412

GCD(932, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 420

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

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

GCD(2, 420) = 840 / 420

GCD(2, 420) = 2

GCD of 932, 782, 420 is 2

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1. What is the GCD of 932, 782, 420?

GCD of 932, 782, 420 is 2

2. Where do I get the detailed procedure to find GCD of 932, 782, 420?

You can find a detailed procedure to find GCD of 932, 782, 420 on our page.

3. How to find GCD of 932, 782, 420 on a calculator?

You can find the GCD of 932, 782, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.