GCD of 42, 302, 952, 502 Calculator

Given Input numbers are 42, 302, 952, 502

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 42, 302, 952, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 302, 952, 502 is 2.

Therefore, GCD of numbers 42, 302, 952, 502 is 2

Given Input Data is 42, 302, 952, 502

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 302 is 2 x 151

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 502 is 2 x 251

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, 302) = 6342

GCD(42, 302) = ( 42 x 302 ) / 6342

GCD(42, 302) = 12684 / 6342

GCD(42, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

GCD of 42, 302, 952, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 767, 828, 610
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• GCD of 28, 343, 589, 825
• GCD of 60, 783, 325, 294
• GCD of 99, 695, 716, 302

1. What is the GCD of 42, 302, 952, 502?

GCD of 42, 302, 952, 502 is 2

2. Where do I get the detailed procedure to find GCD of 42, 302, 952, 502?

You can find a detailed procedure to find GCD of 42, 302, 952, 502 on our page.

3. How to find GCD of 42, 302, 952, 502 on a calculator?

You can find the GCD of 42, 302, 952, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.