GCD of 490, 365, 85, 101 Calculator

Given Input numbers are 490, 365, 85, 101

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 490, 365, 85, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 365, 85, 101 is 1.

Therefore, GCD of numbers 490, 365, 85, 101 is 1

Given Input Data is 490, 365, 85, 101

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 365 is 5 x 73

Prime Factorization of 85 is 5 x 17

Prime Factorization of 101 is 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(490, 365) = 35770

GCD(490, 365) = ( 490 x 365 ) / 35770

GCD(490, 365) = 178850 / 35770

GCD(490, 365) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 85

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

LCM(5, 85) = 85

GCD(5, 85) = ( 5 x 85 ) / 85

GCD(5, 85) = 425 / 85

GCD(5, 85) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 101

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

LCM(5, 101) = 505

GCD(5, 101) = ( 5 x 101 ) / 505

GCD(5, 101) = 505 / 505

GCD(5, 101) = 1

GCD of 490, 365, 85, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 833, 24, 751
• GCD of 957, 939, 85, 969
• GCD of 834, 343, 61, 422
• GCD of 545, 119, 13, 835
• GCD of 840, 986, 26, 117

1. What is the GCD of 490, 365, 85, 101?

GCD of 490, 365, 85, 101 is 1

2. Where do I get the detailed procedure to find GCD of 490, 365, 85, 101?

You can find a detailed procedure to find GCD of 490, 365, 85, 101 on our page.

3. How to find GCD of 490, 365, 85, 101 on a calculator?

You can find the GCD of 490, 365, 85, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.