GCD of 340, 945, 72, 930 Calculator

Given Input numbers are 340, 945, 72, 930

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 340, 945, 72, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 945, 72, 930 is 1.

Therefore, GCD of numbers 340, 945, 72, 930 is 1

Given Input Data is 340, 945, 72, 930

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 930 is 2 x 3 x 5 x 31

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(340, 945) = 64260

GCD(340, 945) = ( 340 x 945 ) / 64260

GCD(340, 945) = 321300 / 64260

GCD(340, 945) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 72

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

LCM(5, 72) = 360

GCD(5, 72) = ( 5 x 72 ) / 360

GCD(5, 72) = 360 / 360

GCD(5, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 930

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

LCM(1, 930) = 930

GCD(1, 930) = ( 1 x 930 ) / 930

GCD(1, 930) = 930 / 930

GCD(1, 930) = 1

GCD of 340, 945, 72, 930 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 181, 95, 947
• GCD of 838, 628, 37, 466
• GCD of 732, 142, 34, 542
• GCD of 414, 478, 46, 560
• GCD of 945, 148, 94, 433

1. What is the GCD of 340, 945, 72, 930?

GCD of 340, 945, 72, 930 is 1

2. Where do I get the detailed procedure to find GCD of 340, 945, 72, 930?

You can find a detailed procedure to find GCD of 340, 945, 72, 930 on our page.

3. How to find GCD of 340, 945, 72, 930 on a calculator?

You can find the GCD of 340, 945, 72, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.