GCD of 353, 781, 125, 986 Calculator

Given Input numbers are 353, 781, 125, 986

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

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 353, 781, 125, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 781, 125, 986 is 1.

Therefore, GCD of numbers 353, 781, 125, 986 is 1

Given Input Data is 353, 781, 125, 986

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

Prime Factorization of 353 is 353

Prime Factorization of 781 is 11 x 71

Prime Factorization of 125 is 5 x 5 x 5

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(353, 781) = 275693

GCD(353, 781) = ( 353 x 781 ) / 275693

GCD(353, 781) = 275693 / 275693

GCD(353, 781) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 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 353, 781, 125, 986 is 1

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1. What is the GCD of 353, 781, 125, 986?

GCD of 353, 781, 125, 986 is 1

2. Where do I get the detailed procedure to find GCD of 353, 781, 125, 986?

You can find a detailed procedure to find GCD of 353, 781, 125, 986 on our page.

3. How to find GCD of 353, 781, 125, 986 on a calculator?

You can find the GCD of 353, 781, 125, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.