GCD of 420, 984, 280, 768 Calculator

Given Input numbers are 420, 984, 280, 768

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

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 420, 984, 280, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 984, 280, 768 is 4.

Therefore, GCD of numbers 420, 984, 280, 768 is 4

Given Input Data is 420, 984, 280, 768

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

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(420, 984) = 34440

GCD(420, 984) = ( 420 x 984 ) / 34440

GCD(420, 984) = 413280 / 34440

GCD(420, 984) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 280

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

LCM(12, 280) = 840

GCD(12, 280) = ( 12 x 280 ) / 840

GCD(12, 280) = 3360 / 840

GCD(12, 280) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 768

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

LCM(4, 768) = 768

GCD(4, 768) = ( 4 x 768 ) / 768

GCD(4, 768) = 3072 / 768

GCD(4, 768) = 4

GCD of 420, 984, 280, 768 is 4

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1. What is the GCD of 420, 984, 280, 768?

GCD of 420, 984, 280, 768 is 4

2. Where do I get the detailed procedure to find GCD of 420, 984, 280, 768?

You can find a detailed procedure to find GCD of 420, 984, 280, 768 on our page.

3. How to find GCD of 420, 984, 280, 768 on a calculator?

You can find the GCD of 420, 984, 280, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.