GCD of 747, 340, 72, 415 Calculator

Given Input numbers are 747, 340, 72, 415

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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 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 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 747, 340, 72, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 340, 72, 415 is 1.

Therefore, GCD of numbers 747, 340, 72, 415 is 1

Given Input Data is 747, 340, 72, 415

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

Prime Factorization of 747 is 3 x 3 x 83

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

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

Prime Factorization of 415 is 5 x 83

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(747, 340) = 253980

GCD(747, 340) = ( 747 x 340 ) / 253980

GCD(747, 340) = 253980 / 253980

GCD(747, 340) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 747, 340, 72, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 329, 46, 580
• GCD of 161, 404, 35, 876
• GCD of 187, 290, 48, 269
• GCD of 518, 809, 61, 303
• GCD of 682, 168, 68, 168

1. What is the GCD of 747, 340, 72, 415?

GCD of 747, 340, 72, 415 is 1

2. Where do I get the detailed procedure to find GCD of 747, 340, 72, 415?

You can find a detailed procedure to find GCD of 747, 340, 72, 415 on our page.

3. How to find GCD of 747, 340, 72, 415 on a calculator?

You can find the GCD of 747, 340, 72, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.