GCD of 986, 548, 807, 345 Calculator

Given Input numbers are 986, 548, 807, 345

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

Divisors of 986

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

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 986, 548, 807, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 548, 807, 345 is 1.

Therefore, GCD of numbers 986, 548, 807, 345 is 1

Given Input Data is 986, 548, 807, 345

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 807 is 3 x 269

Prime Factorization of 345 is 3 x 5 x 23

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(986, 548) = 270164

GCD(986, 548) = ( 986 x 548 ) / 270164

GCD(986, 548) = 540328 / 270164

GCD(986, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 807

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

LCM(2, 807) = 1614

GCD(2, 807) = ( 2 x 807 ) / 1614

GCD(2, 807) = 1614 / 1614

GCD(2, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 986, 548, 807, 345 is 1

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1. What is the GCD of 986, 548, 807, 345?

GCD of 986, 548, 807, 345 is 1

2. Where do I get the detailed procedure to find GCD of 986, 548, 807, 345?

You can find a detailed procedure to find GCD of 986, 548, 807, 345 on our page.

3. How to find GCD of 986, 548, 807, 345 on a calculator?

You can find the GCD of 986, 548, 807, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.