GCD of 413, 980, 85, 158 Calculator

Given Input numbers are 413, 980, 85, 158

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

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 85

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

1, 5, 17, 85

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 413, 980, 85, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 980, 85, 158 is 1.

Therefore, GCD of numbers 413, 980, 85, 158 is 1

Given Input Data is 413, 980, 85, 158

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

Prime Factorization of 413 is 7 x 59

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 158 is 2 x 79

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(413, 980) = 57820

GCD(413, 980) = ( 413 x 980 ) / 57820

GCD(413, 980) = 404740 / 57820

GCD(413, 980) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 85

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

LCM(7, 85) = 595

GCD(7, 85) = ( 7 x 85 ) / 595

GCD(7, 85) = 595 / 595

GCD(7, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 413, 980, 85, 158 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 415, 23, 391
• GCD of 942, 715, 39, 459
• GCD of 254, 430, 38, 772
• GCD of 459, 875, 90, 372
• GCD of 394, 321, 53, 925

1. What is the GCD of 413, 980, 85, 158?

GCD of 413, 980, 85, 158 is 1

2. Where do I get the detailed procedure to find GCD of 413, 980, 85, 158?

You can find a detailed procedure to find GCD of 413, 980, 85, 158 on our page.

3. How to find GCD of 413, 980, 85, 158 on a calculator?

You can find the GCD of 413, 980, 85, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.