GCD of 975, 362, 745, 348 Calculator

Given Input numbers are 975, 362, 745, 348

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

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

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

Greatest Common Divisior

We found the divisors of 975, 362, 745, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 362, 745, 348 is 1.

Therefore, GCD of numbers 975, 362, 745, 348 is 1

Given Input Data is 975, 362, 745, 348

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

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 745 is 5 x 149

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

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(975, 362) = 352950

GCD(975, 362) = ( 975 x 362 ) / 352950

GCD(975, 362) = 352950 / 352950

GCD(975, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 975, 362, 745, 348 is 1

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1. What is the GCD of 975, 362, 745, 348?

GCD of 975, 362, 745, 348 is 1

2. Where do I get the detailed procedure to find GCD of 975, 362, 745, 348?

You can find a detailed procedure to find GCD of 975, 362, 745, 348 on our page.

3. How to find GCD of 975, 362, 745, 348 on a calculator?

You can find the GCD of 975, 362, 745, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.