GCD of 378, 991, 75, 292 Calculator

Given Input numbers are 378, 991, 75, 292

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

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 378, 991, 75, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 991, 75, 292 is 1.

Therefore, GCD of numbers 378, 991, 75, 292 is 1

Given Input Data is 378, 991, 75, 292

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

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

Prime Factorization of 991 is 991

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 292 is 2 x 2 x 73

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(378, 991) = 374598

GCD(378, 991) = ( 378 x 991 ) / 374598

GCD(378, 991) = 374598 / 374598

GCD(378, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 378, 991, 75, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 586, 31, 712
• GCD of 343, 973, 81, 180
• GCD of 771, 169, 99, 206
• GCD of 218, 405, 13, 873
• GCD of 502, 489, 59, 901

1. What is the GCD of 378, 991, 75, 292?

GCD of 378, 991, 75, 292 is 1

2. Where do I get the detailed procedure to find GCD of 378, 991, 75, 292?

You can find a detailed procedure to find GCD of 378, 991, 75, 292 on our page.

3. How to find GCD of 378, 991, 75, 292 on a calculator?

You can find the GCD of 378, 991, 75, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.