GCD of 306, 705, 70, 275 Calculator

Given Input numbers are 306, 705, 70, 275

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 306, 705, 70, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 705, 70, 275 is 1.

Therefore, GCD of numbers 306, 705, 70, 275 is 1

Given Input Data is 306, 705, 70, 275

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 275 is 5 x 5 x 11

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(306, 705) = 71910

GCD(306, 705) = ( 306 x 705 ) / 71910

GCD(306, 705) = 215730 / 71910

GCD(306, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 70

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

LCM(3, 70) = 210

GCD(3, 70) = ( 3 x 70 ) / 210

GCD(3, 70) = 210 / 210

GCD(3, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 306, 705, 70, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 847, 27, 120
• GCD of 380, 547, 60, 320
• GCD of 753, 826, 45, 848
• GCD of 291, 682, 21, 537
• GCD of 568, 101, 23, 968

1. What is the GCD of 306, 705, 70, 275?

GCD of 306, 705, 70, 275 is 1

2. Where do I get the detailed procedure to find GCD of 306, 705, 70, 275?

You can find a detailed procedure to find GCD of 306, 705, 70, 275 on our page.

3. How to find GCD of 306, 705, 70, 275 on a calculator?

You can find the GCD of 306, 705, 70, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.