GCD of 705, 350, 12, 543 Calculator

Given Input numbers are 705, 350, 12, 543

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 705, 350, 12, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 350, 12, 543 is 1.

Therefore, GCD of numbers 705, 350, 12, 543 is 1

Given Input Data is 705, 350, 12, 543

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 543 is 3 x 181

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(705, 350) = 49350

GCD(705, 350) = ( 705 x 350 ) / 49350

GCD(705, 350) = 246750 / 49350

GCD(705, 350) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 12

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

LCM(5, 12) = 60

GCD(5, 12) = ( 5 x 12 ) / 60

GCD(5, 12) = 60 / 60

GCD(5, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 543

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

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

GCD(1, 543) = 543 / 543

GCD(1, 543) = 1

GCD of 705, 350, 12, 543 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 919, 15, 812
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1. What is the GCD of 705, 350, 12, 543?

GCD of 705, 350, 12, 543 is 1

2. Where do I get the detailed procedure to find GCD of 705, 350, 12, 543?

You can find a detailed procedure to find GCD of 705, 350, 12, 543 on our page.

3. How to find GCD of 705, 350, 12, 543 on a calculator?

You can find the GCD of 705, 350, 12, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.