GCD of 374, 486, 670, 746 Calculator

Given Input numbers are 374, 486, 670, 746

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 374, 486, 670, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 486, 670, 746 is 2.

Therefore, GCD of numbers 374, 486, 670, 746 is 2

Given Input Data is 374, 486, 670, 746

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 746 is 2 x 373

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(374, 486) = 90882

GCD(374, 486) = ( 374 x 486 ) / 90882

GCD(374, 486) = 181764 / 90882

GCD(374, 486) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 670

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

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

GCD(2, 670) = 1340 / 670

GCD(2, 670) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

GCD of 374, 486, 670, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 814, 149, 338
• GCD of 960, 342, 652, 917
• GCD of 172, 589, 764, 382
• GCD of 945, 681, 411, 757
• GCD of 612, 578, 344, 839

1. What is the GCD of 374, 486, 670, 746?

GCD of 374, 486, 670, 746 is 2

2. Where do I get the detailed procedure to find GCD of 374, 486, 670, 746?

You can find a detailed procedure to find GCD of 374, 486, 670, 746 on our page.

3. How to find GCD of 374, 486, 670, 746 on a calculator?

You can find the GCD of 374, 486, 670, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.