GCD of 535, 167, 12, 705 Calculator

Given Input numbers are 535, 167, 12, 705

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

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 705

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

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

Greatest Common Divisior

We found the divisors of 535, 167, 12, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 167, 12, 705 is 1.

Therefore, GCD of numbers 535, 167, 12, 705 is 1

Given Input Data is 535, 167, 12, 705

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

Prime Factorization of 535 is 5 x 107

Prime Factorization of 167 is 167

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 705 is 3 x 5 x 47

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(535, 167) = 89345

GCD(535, 167) = ( 535 x 167 ) / 89345

GCD(535, 167) = 89345 / 89345

GCD(535, 167) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 535, 167, 12, 705 is 1

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1. What is the GCD of 535, 167, 12, 705?

GCD of 535, 167, 12, 705 is 1

2. Where do I get the detailed procedure to find GCD of 535, 167, 12, 705?

You can find a detailed procedure to find GCD of 535, 167, 12, 705 on our page.

3. How to find GCD of 535, 167, 12, 705 on a calculator?

You can find the GCD of 535, 167, 12, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.