GCD of 370, 980, 298, 709 Calculator

Given Input numbers are 370, 980, 298, 709

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 370, 980, 298, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 980, 298, 709 is 1.

Therefore, GCD of numbers 370, 980, 298, 709 is 1

Given Input Data is 370, 980, 298, 709

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 298 is 2 x 149

Prime Factorization of 709 is 709

The above numbers do not have any common prime factor. So GCD is 1

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(370, 980) = 36260

GCD(370, 980) = ( 370 x 980 ) / 36260

GCD(370, 980) = 362600 / 36260

GCD(370, 980) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 298

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

LCM(10, 298) = 1490

GCD(10, 298) = ( 10 x 298 ) / 1490

GCD(10, 298) = 2980 / 1490

GCD(10, 298) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 709

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

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

GCD(2, 709) = 1418 / 1418

GCD(2, 709) = 1

GCD of 370, 980, 298, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 495, 759, 465
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• GCD of 917, 560, 665, 667

1. What is the GCD of 370, 980, 298, 709?

GCD of 370, 980, 298, 709 is 1

2. Where do I get the detailed procedure to find GCD of 370, 980, 298, 709?

You can find a detailed procedure to find GCD of 370, 980, 298, 709 on our page.

3. How to find GCD of 370, 980, 298, 709 on a calculator?

You can find the GCD of 370, 980, 298, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.