GCD of 708, 948, 40, 683 Calculator

Given Input numbers are 708, 948, 40, 683

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 708, 948, 40, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 948, 40, 683 is 1.

Therefore, GCD of numbers 708, 948, 40, 683 is 1

Given Input Data is 708, 948, 40, 683

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 683 is 683

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(708, 948) = 55932

GCD(708, 948) = ( 708 x 948 ) / 55932

GCD(708, 948) = 671184 / 55932

GCD(708, 948) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 40

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

LCM(12, 40) = 120

GCD(12, 40) = ( 12 x 40 ) / 120

GCD(12, 40) = 480 / 120

GCD(12, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 683

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

LCM(4, 683) = 2732

GCD(4, 683) = ( 4 x 683 ) / 2732

GCD(4, 683) = 2732 / 2732

GCD(4, 683) = 1

GCD of 708, 948, 40, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 872, 51, 666
• GCD of 236, 950, 32, 905
• GCD of 682, 815, 50, 864
• GCD of 361, 778, 15, 695
• GCD of 736, 247, 57, 775

1. What is the GCD of 708, 948, 40, 683?

GCD of 708, 948, 40, 683 is 1

2. Where do I get the detailed procedure to find GCD of 708, 948, 40, 683?

You can find a detailed procedure to find GCD of 708, 948, 40, 683 on our page.

3. How to find GCD of 708, 948, 40, 683 on a calculator?

You can find the GCD of 708, 948, 40, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.