GCD of 48, 693, 904, 740 Calculator

Given Input numbers are 48, 693, 904, 740

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 48, 693, 904, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 693, 904, 740 is 1.

Therefore, GCD of numbers 48, 693, 904, 740 is 1

Given Input Data is 48, 693, 904, 740

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(48, 693) = 11088

GCD(48, 693) = ( 48 x 693 ) / 11088

GCD(48, 693) = 33264 / 11088

GCD(48, 693) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 904

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

LCM(3, 904) = 2712

GCD(3, 904) = ( 3 x 904 ) / 2712

GCD(3, 904) = 2712 / 2712

GCD(3, 904) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 48, 693, 904, 740 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 757, 464, 836
• GCD of 20, 322, 998, 170
• GCD of 40, 575, 161, 237
• GCD of 80, 863, 748, 930
• GCD of 45, 519, 721, 348

1. What is the GCD of 48, 693, 904, 740?

GCD of 48, 693, 904, 740 is 1

2. Where do I get the detailed procedure to find GCD of 48, 693, 904, 740?

You can find a detailed procedure to find GCD of 48, 693, 904, 740 on our page.

3. How to find GCD of 48, 693, 904, 740 on a calculator?

You can find the GCD of 48, 693, 904, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.