GCD of 345, 912, 625, 734 Calculator

Given Input numbers are 345, 912, 625, 734

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 345, 912, 625, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 912, 625, 734 is 1.

Therefore, GCD of numbers 345, 912, 625, 734 is 1

Given Input Data is 345, 912, 625, 734

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 734 is 2 x 367

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(345, 912) = 104880

GCD(345, 912) = ( 345 x 912 ) / 104880

GCD(345, 912) = 314640 / 104880

GCD(345, 912) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 625

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

LCM(3, 625) = 1875

GCD(3, 625) = ( 3 x 625 ) / 1875

GCD(3, 625) = 1875 / 1875

GCD(3, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 345, 912, 625, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 356, 481, 964
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• GCD of 302, 646, 827, 216
• GCD of 912, 534, 681, 938
• GCD of 549, 833, 469, 801

1. What is the GCD of 345, 912, 625, 734?

GCD of 345, 912, 625, 734 is 1

2. Where do I get the detailed procedure to find GCD of 345, 912, 625, 734?

You can find a detailed procedure to find GCD of 345, 912, 625, 734 on our page.

3. How to find GCD of 345, 912, 625, 734 on a calculator?

You can find the GCD of 345, 912, 625, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.