GCD of 25, 499, 980, 154 Calculator

Given Input numbers are 25, 499, 980, 154

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 25, 499, 980, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 499, 980, 154 is 1.

Therefore, GCD of numbers 25, 499, 980, 154 is 1

Given Input Data is 25, 499, 980, 154

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 499 is 499

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

Prime Factorization of 154 is 2 x 7 x 11

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(25, 499) = 12475

GCD(25, 499) = ( 25 x 499 ) / 12475

GCD(25, 499) = 12475 / 12475

GCD(25, 499) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 25, 499, 980, 154 is 1

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• GCD of 96, 856, 900, 876
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• GCD of 53, 145, 178, 633

1. What is the GCD of 25, 499, 980, 154?

GCD of 25, 499, 980, 154 is 1

2. Where do I get the detailed procedure to find GCD of 25, 499, 980, 154?

You can find a detailed procedure to find GCD of 25, 499, 980, 154 on our page.

3. How to find GCD of 25, 499, 980, 154 on a calculator?

You can find the GCD of 25, 499, 980, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.