GCD of 169, 314, 600, 705 Calculator

Given Input numbers are 169, 314, 600, 705

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 169, 314, 600, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 314, 600, 705 is 1.

Therefore, GCD of numbers 169, 314, 600, 705 is 1

Given Input Data is 169, 314, 600, 705

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 314 is 2 x 157

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(169, 314) = 53066

GCD(169, 314) = ( 169 x 314 ) / 53066

GCD(169, 314) = 53066 / 53066

GCD(169, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 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 169, 314, 600, 705 is 1

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1. What is the GCD of 169, 314, 600, 705?

GCD of 169, 314, 600, 705 is 1

2. Where do I get the detailed procedure to find GCD of 169, 314, 600, 705?

You can find a detailed procedure to find GCD of 169, 314, 600, 705 on our page.

3. How to find GCD of 169, 314, 600, 705 on a calculator?

You can find the GCD of 169, 314, 600, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.