GCD of 202, 630, 158, 344 Calculator

Given Input numbers are 202, 630, 158, 344

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

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 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 202, 630, 158, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 630, 158, 344 is 2.

Therefore, GCD of numbers 202, 630, 158, 344 is 2

Given Input Data is 202, 630, 158, 344

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

Prime Factorization of 202 is 2 x 101

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(202, 630) = 63630

GCD(202, 630) = ( 202 x 630 ) / 63630

GCD(202, 630) = 127260 / 63630

GCD(202, 630) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

GCD of 202, 630, 158, 344 is 2

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1. What is the GCD of 202, 630, 158, 344?

GCD of 202, 630, 158, 344 is 2

2. Where do I get the detailed procedure to find GCD of 202, 630, 158, 344?

You can find a detailed procedure to find GCD of 202, 630, 158, 344 on our page.

3. How to find GCD of 202, 630, 158, 344 on a calculator?

You can find the GCD of 202, 630, 158, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.