GCD of 356, 302, 630, 334 Calculator

Given Input numbers are 356, 302, 630, 334

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 302

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

1, 2, 151, 302

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 356, 302, 630, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 302, 630, 334 is 2.

Therefore, GCD of numbers 356, 302, 630, 334 is 2

Given Input Data is 356, 302, 630, 334

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 302 is 2 x 151

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 334 is 2 x 167

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(356, 302) = 53756

GCD(356, 302) = ( 356 x 302 ) / 53756

GCD(356, 302) = 107512 / 53756

GCD(356, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 630

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

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

GCD(2, 630) = 1260 / 630

GCD(2, 630) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 356, 302, 630, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 200, 865, 877
• GCD of 744, 304, 985, 696
• GCD of 188, 139, 753, 836
• GCD of 888, 214, 976, 466
• GCD of 952, 890, 131, 862

1. What is the GCD of 356, 302, 630, 334?

GCD of 356, 302, 630, 334 is 2

2. Where do I get the detailed procedure to find GCD of 356, 302, 630, 334?

You can find a detailed procedure to find GCD of 356, 302, 630, 334 on our page.

3. How to find GCD of 356, 302, 630, 334 on a calculator?

You can find the GCD of 356, 302, 630, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.