GCD of 348, 675, 31, 965 Calculator

Given Input numbers are 348, 675, 31, 965

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 348, 675, 31, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 675, 31, 965 is 1.

Therefore, GCD of numbers 348, 675, 31, 965 is 1

Given Input Data is 348, 675, 31, 965

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

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

Prime Factorization of 31 is 31

Prime Factorization of 965 is 5 x 193

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(348, 675) = 78300

GCD(348, 675) = ( 348 x 675 ) / 78300

GCD(348, 675) = 234900 / 78300

GCD(348, 675) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 31

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

LCM(3, 31) = 93

GCD(3, 31) = ( 3 x 31 ) / 93

GCD(3, 31) = 93 / 93

GCD(3, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

GCD of 348, 675, 31, 965 is 1

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• GCD of 593, 784, 64, 522
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1. What is the GCD of 348, 675, 31, 965?

GCD of 348, 675, 31, 965 is 1

2. Where do I get the detailed procedure to find GCD of 348, 675, 31, 965?

You can find a detailed procedure to find GCD of 348, 675, 31, 965 on our page.

3. How to find GCD of 348, 675, 31, 965 on a calculator?

You can find the GCD of 348, 675, 31, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.