GCD of 242, 126, 532, 420 Calculator

Given Input numbers are 242, 126, 532, 420

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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 242, 126, 532, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 126, 532, 420 is 2.

Therefore, GCD of numbers 242, 126, 532, 420 is 2

Given Input Data is 242, 126, 532, 420

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(242, 126) = 15246

GCD(242, 126) = ( 242 x 126 ) / 15246

GCD(242, 126) = 30492 / 15246

GCD(242, 126) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 532

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

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

GCD(2, 532) = 1064 / 532

GCD(2, 532) = 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 242, 126, 532, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 225, 527, 517
• GCD of 644, 919, 273, 492
• GCD of 926, 253, 273, 604
• GCD of 162, 668, 960, 183
• GCD of 221, 402, 567, 929

1. What is the GCD of 242, 126, 532, 420?

GCD of 242, 126, 532, 420 is 2

2. Where do I get the detailed procedure to find GCD of 242, 126, 532, 420?

You can find a detailed procedure to find GCD of 242, 126, 532, 420 on our page.

3. How to find GCD of 242, 126, 532, 420 on a calculator?

You can find the GCD of 242, 126, 532, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.