GCD of 40, 689, 803, 348 Calculator

Given Input numbers are 40, 689, 803, 348

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

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 40, 689, 803, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 689, 803, 348 is 1.

Therefore, GCD of numbers 40, 689, 803, 348 is 1

Given Input Data is 40, 689, 803, 348

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

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 803 is 11 x 73

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(40, 689) = 27560

GCD(40, 689) = ( 40 x 689 ) / 27560

GCD(40, 689) = 27560 / 27560

GCD(40, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 803

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

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

GCD(1, 803) = 803 / 803

GCD(1, 803) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 40, 689, 803, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 394, 320, 535
• GCD of 30, 334, 245, 393
• GCD of 15, 988, 382, 957
• GCD of 20, 523, 439, 192
• GCD of 57, 340, 266, 804

1. What is the GCD of 40, 689, 803, 348?

GCD of 40, 689, 803, 348 is 1

2. Where do I get the detailed procedure to find GCD of 40, 689, 803, 348?

You can find a detailed procedure to find GCD of 40, 689, 803, 348 on our page.

3. How to find GCD of 40, 689, 803, 348 on a calculator?

You can find the GCD of 40, 689, 803, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.