GCD of 25, 790, 268, 986 Calculator

Given Input numbers are 25, 790, 268, 986

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 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 25, 790, 268, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 790, 268, 986 is 1.

Therefore, GCD of numbers 25, 790, 268, 986 is 1

Given Input Data is 25, 790, 268, 986

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 986 is 2 x 17 x 29

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, 790) = 3950

GCD(25, 790) = ( 25 x 790 ) / 3950

GCD(25, 790) = 19750 / 3950

GCD(25, 790) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 268

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

LCM(5, 268) = 1340

GCD(5, 268) = ( 5 x 268 ) / 1340

GCD(5, 268) = 1340 / 1340

GCD(5, 268) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 25, 790, 268, 986 is 1

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• GCD of 83, 840, 722, 294
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1. What is the GCD of 25, 790, 268, 986?

GCD of 25, 790, 268, 986 is 1

2. Where do I get the detailed procedure to find GCD of 25, 790, 268, 986?

You can find a detailed procedure to find GCD of 25, 790, 268, 986 on our page.

3. How to find GCD of 25, 790, 268, 986 on a calculator?

You can find the GCD of 25, 790, 268, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.