GCD of 314, 370, 889, 747 Calculator

Given Input numbers are 314, 370, 889, 747

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

Divisors of 314

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

1, 2, 157, 314

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 314, 370, 889, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 370, 889, 747 is 1.

Therefore, GCD of numbers 314, 370, 889, 747 is 1

Given Input Data is 314, 370, 889, 747

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 889 is 7 x 127

Prime Factorization of 747 is 3 x 3 x 83

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(314, 370) = 58090

GCD(314, 370) = ( 314 x 370 ) / 58090

GCD(314, 370) = 116180 / 58090

GCD(314, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 889

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

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

GCD(2, 889) = 1778 / 1778

GCD(2, 889) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 314, 370, 889, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 298, 327, 701
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• GCD of 614, 692, 739, 119

1. What is the GCD of 314, 370, 889, 747?

GCD of 314, 370, 889, 747 is 1

2. Where do I get the detailed procedure to find GCD of 314, 370, 889, 747?

You can find a detailed procedure to find GCD of 314, 370, 889, 747 on our page.

3. How to find GCD of 314, 370, 889, 747 on a calculator?

You can find the GCD of 314, 370, 889, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.