GCD of 590, 416, 35, 101 Calculator

Given Input numbers are 590, 416, 35, 101

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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 590, 416, 35, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 416, 35, 101 is 1.

Therefore, GCD of numbers 590, 416, 35, 101 is 1

Given Input Data is 590, 416, 35, 101

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 35 is 5 x 7

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(590, 416) = 122720

GCD(590, 416) = ( 590 x 416 ) / 122720

GCD(590, 416) = 245440 / 122720

GCD(590, 416) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 590, 416, 35, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 133, 86, 326
• GCD of 311, 302, 35, 122
• GCD of 916, 308, 55, 994
• GCD of 926, 959, 52, 980
• GCD of 967, 781, 14, 526

1. What is the GCD of 590, 416, 35, 101?

GCD of 590, 416, 35, 101 is 1

2. Where do I get the detailed procedure to find GCD of 590, 416, 35, 101?

You can find a detailed procedure to find GCD of 590, 416, 35, 101 on our page.

3. How to find GCD of 590, 416, 35, 101 on a calculator?

You can find the GCD of 590, 416, 35, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.