GCD of 49, 915, 354, 730 Calculator

Given Input numbers are 49, 915, 354, 730

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 49, 915, 354, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 915, 354, 730 is 1.

Therefore, GCD of numbers 49, 915, 354, 730 is 1

Given Input Data is 49, 915, 354, 730

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 730 is 2 x 5 x 73

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(49, 915) = 44835

GCD(49, 915) = ( 49 x 915 ) / 44835

GCD(49, 915) = 44835 / 44835

GCD(49, 915) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 49, 915, 354, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 189, 591, 351
• GCD of 96, 359, 631, 913
• GCD of 21, 427, 879, 819
• GCD of 50, 126, 745, 536
• GCD of 63, 561, 519, 396

1. What is the GCD of 49, 915, 354, 730?

GCD of 49, 915, 354, 730 is 1

2. Where do I get the detailed procedure to find GCD of 49, 915, 354, 730?

You can find a detailed procedure to find GCD of 49, 915, 354, 730 on our page.

3. How to find GCD of 49, 915, 354, 730 on a calculator?

You can find the GCD of 49, 915, 354, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.