GCD of 379, 362, 814, 857 Calculator

Given Input numbers are 379, 362, 814, 857

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

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

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 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 379, 362, 814, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 379, 362, 814, 857 is 1.

Therefore, GCD of numbers 379, 362, 814, 857 is 1

Given Input Data is 379, 362, 814, 857

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

Prime Factorization of 379 is 379

Prime Factorization of 362 is 2 x 181

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 857 is 857

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(379, 362) = 137198

GCD(379, 362) = ( 379 x 362 ) / 137198

GCD(379, 362) = 137198 / 137198

GCD(379, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

GCD of 379, 362, 814, 857 is 1

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1. What is the GCD of 379, 362, 814, 857?

GCD of 379, 362, 814, 857 is 1

2. Where do I get the detailed procedure to find GCD of 379, 362, 814, 857?

You can find a detailed procedure to find GCD of 379, 362, 814, 857 on our page.

3. How to find GCD of 379, 362, 814, 857 on a calculator?

You can find the GCD of 379, 362, 814, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.