GCD of 240, 890, 378, 134 Calculator

Given Input numbers are 240, 890, 378, 134

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 134

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

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 240, 890, 378, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 890, 378, 134 is 2.

Therefore, GCD of numbers 240, 890, 378, 134 is 2

Given Input Data is 240, 890, 378, 134

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 134 is 2 x 67

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(240, 890) = 21360

GCD(240, 890) = ( 240 x 890 ) / 21360

GCD(240, 890) = 213600 / 21360

GCD(240, 890) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 378

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

LCM(10, 378) = 1890

GCD(10, 378) = ( 10 x 378 ) / 1890

GCD(10, 378) = 3780 / 1890

GCD(10, 378) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2

GCD of 240, 890, 378, 134 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 686, 405, 277
• GCD of 861, 863, 248, 198
• GCD of 771, 818, 815, 358
• GCD of 235, 985, 143, 245
• GCD of 116, 999, 113, 552

1. What is the GCD of 240, 890, 378, 134?

GCD of 240, 890, 378, 134 is 2

2. Where do I get the detailed procedure to find GCD of 240, 890, 378, 134?

You can find a detailed procedure to find GCD of 240, 890, 378, 134 on our page.

3. How to find GCD of 240, 890, 378, 134 on a calculator?

You can find the GCD of 240, 890, 378, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.