GCD of 293, 814, 142, 374 Calculator

Given Input numbers are 293, 814, 142, 374

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

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 293, 814, 142, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 293, 814, 142, 374 is 1.

Therefore, GCD of numbers 293, 814, 142, 374 is 1

Given Input Data is 293, 814, 142, 374

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

Prime Factorization of 293 is 293

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 142 is 2 x 71

Prime Factorization of 374 is 2 x 11 x 17

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(293, 814) = 238502

GCD(293, 814) = ( 293 x 814 ) / 238502

GCD(293, 814) = 238502 / 238502

GCD(293, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 293, 814, 142, 374 is 1

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1. What is the GCD of 293, 814, 142, 374?

GCD of 293, 814, 142, 374 is 1

2. Where do I get the detailed procedure to find GCD of 293, 814, 142, 374?

You can find a detailed procedure to find GCD of 293, 814, 142, 374 on our page.

3. How to find GCD of 293, 814, 142, 374 on a calculator?

You can find the GCD of 293, 814, 142, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.