GCD of 670, 898, 42, 138 Calculator

Given Input numbers are 670, 898, 42, 138

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

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 670, 898, 42, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 898, 42, 138 is 2.

Therefore, GCD of numbers 670, 898, 42, 138 is 2

Given Input Data is 670, 898, 42, 138

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

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 898 is 2 x 449

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 138 is 2 x 3 x 23

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(670, 898) = 300830

GCD(670, 898) = ( 670 x 898 ) / 300830

GCD(670, 898) = 601660 / 300830

GCD(670, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

GCD of 670, 898, 42, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 354, 50, 789
• GCD of 133, 837, 58, 151
• GCD of 654, 450, 36, 555
• GCD of 488, 275, 69, 435
• GCD of 219, 462, 54, 998

1. What is the GCD of 670, 898, 42, 138?

GCD of 670, 898, 42, 138 is 2

2. Where do I get the detailed procedure to find GCD of 670, 898, 42, 138?

You can find a detailed procedure to find GCD of 670, 898, 42, 138 on our page.

3. How to find GCD of 670, 898, 42, 138 on a calculator?

You can find the GCD of 670, 898, 42, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.