GCD of 315, 379, 35, 525 Calculator

Given Input numbers are 315, 379, 35, 525

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 379

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

1, 379

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 315, 379, 35, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 379, 35, 525 is 1.

Therefore, GCD of numbers 315, 379, 35, 525 is 1

Given Input Data is 315, 379, 35, 525

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 379 is 379

Prime Factorization of 35 is 5 x 7

Prime Factorization of 525 is 3 x 5 x 5 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(315, 379) = 119385

GCD(315, 379) = ( 315 x 379 ) / 119385

GCD(315, 379) = 119385 / 119385

GCD(315, 379) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 315, 379, 35, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 229, 41, 186
• GCD of 230, 608, 38, 667
• GCD of 994, 487, 88, 219
• GCD of 793, 797, 40, 754
• GCD of 861, 168, 79, 333

1. What is the GCD of 315, 379, 35, 525?

GCD of 315, 379, 35, 525 is 1

2. Where do I get the detailed procedure to find GCD of 315, 379, 35, 525?

You can find a detailed procedure to find GCD of 315, 379, 35, 525 on our page.

3. How to find GCD of 315, 379, 35, 525 on a calculator?

You can find the GCD of 315, 379, 35, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.