GCD of 305, 368, 70, 292 Calculator

Given Input numbers are 305, 368, 70, 292

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 305, 368, 70, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 368, 70, 292 is 1.

Therefore, GCD of numbers 305, 368, 70, 292 is 1

Given Input Data is 305, 368, 70, 292

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 292 is 2 x 2 x 73

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(305, 368) = 112240

GCD(305, 368) = ( 305 x 368 ) / 112240

GCD(305, 368) = 112240 / 112240

GCD(305, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 305, 368, 70, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 277, 13, 293
• GCD of 704, 710, 21, 223
• GCD of 105, 646, 70, 231
• GCD of 774, 109, 57, 229
• GCD of 128, 141, 41, 185

1. What is the GCD of 305, 368, 70, 292?

GCD of 305, 368, 70, 292 is 1

2. Where do I get the detailed procedure to find GCD of 305, 368, 70, 292?

You can find a detailed procedure to find GCD of 305, 368, 70, 292 on our page.

3. How to find GCD of 305, 368, 70, 292 on a calculator?

You can find the GCD of 305, 368, 70, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.