GCD of 730, 897, 948, 763 Calculator

Given Input numbers are 730, 897, 948, 763

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

Divisors of 730

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

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

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 730, 897, 948, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 897, 948, 763 is 1.

Therefore, GCD of numbers 730, 897, 948, 763 is 1

Given Input Data is 730, 897, 948, 763

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 763 is 7 x 109

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(730, 897) = 654810

GCD(730, 897) = ( 730 x 897 ) / 654810

GCD(730, 897) = 654810 / 654810

GCD(730, 897) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 730, 897, 948, 763 is 1

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1. What is the GCD of 730, 897, 948, 763?

GCD of 730, 897, 948, 763 is 1

2. Where do I get the detailed procedure to find GCD of 730, 897, 948, 763?

You can find a detailed procedure to find GCD of 730, 897, 948, 763 on our page.

3. How to find GCD of 730, 897, 948, 763 on a calculator?

You can find the GCD of 730, 897, 948, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.