GCD of 994, 707, 66, 378 Calculator

Given Input numbers are 994, 707, 66, 378

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 994, 707, 66, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 707, 66, 378 is 1.

Therefore, GCD of numbers 994, 707, 66, 378 is 1

Given Input Data is 994, 707, 66, 378

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 707 is 7 x 101

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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(994, 707) = 100394

GCD(994, 707) = ( 994 x 707 ) / 100394

GCD(994, 707) = 702758 / 100394

GCD(994, 707) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 66

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

LCM(7, 66) = 462

GCD(7, 66) = ( 7 x 66 ) / 462

GCD(7, 66) = 462 / 462

GCD(7, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 994, 707, 66, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 439, 88, 731
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• GCD of 349, 206, 92, 293
• GCD of 766, 373, 82, 198
• GCD of 258, 246, 69, 905

1. What is the GCD of 994, 707, 66, 378?

GCD of 994, 707, 66, 378 is 1

2. Where do I get the detailed procedure to find GCD of 994, 707, 66, 378?

You can find a detailed procedure to find GCD of 994, 707, 66, 378 on our page.

3. How to find GCD of 994, 707, 66, 378 on a calculator?

You can find the GCD of 994, 707, 66, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.