GCD of 945, 364, 997, 379 Calculator

Given Input numbers are 945, 364, 997, 379

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 379

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

1, 379

Greatest Common Divisior

We found the divisors of 945, 364, 997, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 364, 997, 379 is 1.

Therefore, GCD of numbers 945, 364, 997, 379 is 1

Given Input Data is 945, 364, 997, 379

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 997 is 997

Prime Factorization of 379 is 379

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(945, 364) = 49140

GCD(945, 364) = ( 945 x 364 ) / 49140

GCD(945, 364) = 343980 / 49140

GCD(945, 364) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 997

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

LCM(7, 997) = 6979

GCD(7, 997) = ( 7 x 997 ) / 6979

GCD(7, 997) = 6979 / 6979

GCD(7, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 945, 364, 997, 379 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 987, 414, 462
• GCD of 375, 632, 352, 280
• GCD of 441, 664, 144, 880
• GCD of 212, 828, 622, 437
• GCD of 417, 627, 512, 545

1. What is the GCD of 945, 364, 997, 379?

GCD of 945, 364, 997, 379 is 1

2. Where do I get the detailed procedure to find GCD of 945, 364, 997, 379?

You can find a detailed procedure to find GCD of 945, 364, 997, 379 on our page.

3. How to find GCD of 945, 364, 997, 379 on a calculator?

You can find the GCD of 945, 364, 997, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.