GCD of 370, 805, 98, 414 Calculator

Given Input numbers are 370, 805, 98, 414

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 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 370, 805, 98, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 805, 98, 414 is 1.

Therefore, GCD of numbers 370, 805, 98, 414 is 1

Given Input Data is 370, 805, 98, 414

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 805 is 5 x 7 x 23

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 414 is 2 x 3 x 3 x 23

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, 805) = 59570

GCD(370, 805) = ( 370 x 805 ) / 59570

GCD(370, 805) = 297850 / 59570

GCD(370, 805) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 98

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

LCM(5, 98) = 490

GCD(5, 98) = ( 5 x 98 ) / 490

GCD(5, 98) = 490 / 490

GCD(5, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 370, 805, 98, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 753, 29, 891
• GCD of 423, 250, 90, 768
• GCD of 497, 660, 65, 921
• GCD of 315, 974, 42, 651
• GCD of 679, 609, 59, 799

1. What is the GCD of 370, 805, 98, 414?

GCD of 370, 805, 98, 414 is 1

2. Where do I get the detailed procedure to find GCD of 370, 805, 98, 414?

You can find a detailed procedure to find GCD of 370, 805, 98, 414 on our page.

3. How to find GCD of 370, 805, 98, 414 on a calculator?

You can find the GCD of 370, 805, 98, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.