GCD of 360, 134, 100, 202 Calculator

Given Input numbers are 360, 134, 100, 202

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 202

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

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 360, 134, 100, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 134, 100, 202 is 2.

Therefore, GCD of numbers 360, 134, 100, 202 is 2

Given Input Data is 360, 134, 100, 202

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 134 is 2 x 67

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 202 is 2 x 101

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(360, 134) = 24120

GCD(360, 134) = ( 360 x 134 ) / 24120

GCD(360, 134) = 48240 / 24120

GCD(360, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

GCD of 360, 134, 100, 202 is 2

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1. What is the GCD of 360, 134, 100, 202?

GCD of 360, 134, 100, 202 is 2

2. Where do I get the detailed procedure to find GCD of 360, 134, 100, 202?

You can find a detailed procedure to find GCD of 360, 134, 100, 202 on our page.

3. How to find GCD of 360, 134, 100, 202 on a calculator?

You can find the GCD of 360, 134, 100, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.