GCD of 675, 349, 837, 975 Calculator

Given Input numbers are 675, 349, 837, 975

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 675, 349, 837, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 349, 837, 975 is 1.

Therefore, GCD of numbers 675, 349, 837, 975 is 1

Given Input Data is 675, 349, 837, 975

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 349 is 349

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(675, 349) = 235575

GCD(675, 349) = ( 675 x 349 ) / 235575

GCD(675, 349) = 235575 / 235575

GCD(675, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 837

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

LCM(1, 837) = 837

GCD(1, 837) = ( 1 x 837 ) / 837

GCD(1, 837) = 837 / 837

GCD(1, 837) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 675, 349, 837, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 727, 425, 328
• GCD of 989, 506, 195, 689
• GCD of 442, 898, 915, 824
• GCD of 561, 226, 132, 207
• GCD of 377, 825, 290, 577

1. What is the GCD of 675, 349, 837, 975?

GCD of 675, 349, 837, 975 is 1

2. Where do I get the detailed procedure to find GCD of 675, 349, 837, 975?

You can find a detailed procedure to find GCD of 675, 349, 837, 975 on our page.

3. How to find GCD of 675, 349, 837, 975 on a calculator?

You can find the GCD of 675, 349, 837, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.