GCD of 126, 478, 36, 350 Calculator

Given Input numbers are 126, 478, 36, 350

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

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 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 126, 478, 36, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 478, 36, 350 is 2.

Therefore, GCD of numbers 126, 478, 36, 350 is 2

Given Input Data is 126, 478, 36, 350

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

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 350 is 2 x 5 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(126, 478) = 30114

GCD(126, 478) = ( 126 x 478 ) / 30114

GCD(126, 478) = 60228 / 30114

GCD(126, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 350

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

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

GCD(2, 350) = 700 / 350

GCD(2, 350) = 2

GCD of 126, 478, 36, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 739, 42, 423
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• GCD of 803, 155, 77, 871
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• GCD of 289, 794, 98, 920

1. What is the GCD of 126, 478, 36, 350?

GCD of 126, 478, 36, 350 is 2

2. Where do I get the detailed procedure to find GCD of 126, 478, 36, 350?

You can find a detailed procedure to find GCD of 126, 478, 36, 350 on our page.

3. How to find GCD of 126, 478, 36, 350 on a calculator?

You can find the GCD of 126, 478, 36, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.