GCD of 48, 116, 578, 420 Calculator

Given Input numbers are 48, 116, 578, 420

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

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 48, 116, 578, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 116, 578, 420 is 2.

Therefore, GCD of numbers 48, 116, 578, 420 is 2

Given Input Data is 48, 116, 578, 420

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 578 is 2 x 17 x 17

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(48, 116) = 1392

GCD(48, 116) = ( 48 x 116 ) / 1392

GCD(48, 116) = 5568 / 1392

GCD(48, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 578

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

LCM(4, 578) = 1156

GCD(4, 578) = ( 4 x 578 ) / 1156

GCD(4, 578) = 2312 / 1156

GCD(4, 578) = 2

Step3:

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 48, 116, 578, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 476, 936, 374
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• GCD of 82, 696, 441, 794
• GCD of 59, 964, 136, 653
• GCD of 91, 880, 285, 903

1. What is the GCD of 48, 116, 578, 420?

GCD of 48, 116, 578, 420 is 2

2. Where do I get the detailed procedure to find GCD of 48, 116, 578, 420?

You can find a detailed procedure to find GCD of 48, 116, 578, 420 on our page.

3. How to find GCD of 48, 116, 578, 420 on a calculator?

You can find the GCD of 48, 116, 578, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.