GCD of 415, 305, 980, 149 Calculator

Given Input numbers are 415, 305, 980, 149

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

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 415, 305, 980, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 305, 980, 149 is 1.

Therefore, GCD of numbers 415, 305, 980, 149 is 1

Given Input Data is 415, 305, 980, 149

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 305 is 5 x 61

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

Prime Factorization of 149 is 149

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(415, 305) = 25315

GCD(415, 305) = ( 415 x 305 ) / 25315

GCD(415, 305) = 126575 / 25315

GCD(415, 305) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 980

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

LCM(5, 980) = 980

GCD(5, 980) = ( 5 x 980 ) / 980

GCD(5, 980) = 4900 / 980

GCD(5, 980) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 149

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

LCM(5, 149) = 745

GCD(5, 149) = ( 5 x 149 ) / 745

GCD(5, 149) = 745 / 745

GCD(5, 149) = 1

GCD of 415, 305, 980, 149 is 1

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• GCD of 661, 800, 222, 267
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• GCD of 794, 799, 695, 346

1. What is the GCD of 415, 305, 980, 149?

GCD of 415, 305, 980, 149 is 1

2. Where do I get the detailed procedure to find GCD of 415, 305, 980, 149?

You can find a detailed procedure to find GCD of 415, 305, 980, 149 on our page.

3. How to find GCD of 415, 305, 980, 149 on a calculator?

You can find the GCD of 415, 305, 980, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.