GCD of 938, 783, 914, 674 Calculator

Given Input numbers are 938, 783, 914, 674

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 938, 783, 914, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 783, 914, 674 is 1.

Therefore, GCD of numbers 938, 783, 914, 674 is 1

Given Input Data is 938, 783, 914, 674

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 914 is 2 x 457

Prime Factorization of 674 is 2 x 337

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(938, 783) = 734454

GCD(938, 783) = ( 938 x 783 ) / 734454

GCD(938, 783) = 734454 / 734454

GCD(938, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 938, 783, 914, 674 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 938, 783, 914, 674?

GCD of 938, 783, 914, 674 is 1

2. Where do I get the detailed procedure to find GCD of 938, 783, 914, 674?

You can find a detailed procedure to find GCD of 938, 783, 914, 674 on our page.

3. How to find GCD of 938, 783, 914, 674 on a calculator?

You can find the GCD of 938, 783, 914, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.