GCD of 385, 374, 84, 505 Calculator

Given Input numbers are 385, 374, 84, 505

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

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 385, 374, 84, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 374, 84, 505 is 1.

Therefore, GCD of numbers 385, 374, 84, 505 is 1

Given Input Data is 385, 374, 84, 505

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

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 505 is 5 x 101

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(385, 374) = 13090

GCD(385, 374) = ( 385 x 374 ) / 13090

GCD(385, 374) = 143990 / 13090

GCD(385, 374) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 84

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

LCM(11, 84) = 924

GCD(11, 84) = ( 11 x 84 ) / 924

GCD(11, 84) = 924 / 924

GCD(11, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 385, 374, 84, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 738, 95, 520
• GCD of 316, 352, 66, 838
• GCD of 315, 507, 29, 788
• GCD of 802, 175, 60, 861
• GCD of 134, 110, 80, 177

1. What is the GCD of 385, 374, 84, 505?

GCD of 385, 374, 84, 505 is 1

2. Where do I get the detailed procedure to find GCD of 385, 374, 84, 505?

You can find a detailed procedure to find GCD of 385, 374, 84, 505 on our page.

3. How to find GCD of 385, 374, 84, 505 on a calculator?

You can find the GCD of 385, 374, 84, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.