GCD of 42, 542, 252, 310 Calculator

Given Input numbers are 42, 542, 252, 310

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 42, 542, 252, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 542, 252, 310 is 2.

Therefore, GCD of numbers 42, 542, 252, 310 is 2

Given Input Data is 42, 542, 252, 310

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 542 is 2 x 271

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 310 is 2 x 5 x 31

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(42, 542) = 11382

GCD(42, 542) = ( 42 x 542 ) / 11382

GCD(42, 542) = 22764 / 11382

GCD(42, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 252

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

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

GCD(2, 252) = 504 / 252

GCD(2, 252) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 310

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

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

GCD(2, 310) = 620 / 310

GCD(2, 310) = 2

GCD of 42, 542, 252, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 528, 456, 933
• GCD of 17, 922, 724, 782
• GCD of 14, 625, 504, 128
• GCD of 76, 889, 578, 746
• GCD of 74, 161, 760, 523

1. What is the GCD of 42, 542, 252, 310?

GCD of 42, 542, 252, 310 is 2

2. Where do I get the detailed procedure to find GCD of 42, 542, 252, 310?

You can find a detailed procedure to find GCD of 42, 542, 252, 310 on our page.

3. How to find GCD of 42, 542, 252, 310 on a calculator?

You can find the GCD of 42, 542, 252, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.