GCD of 689, 846, 40, 118 Calculator

Given Input numbers are 689, 846, 40, 118

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

Divisors of 689

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

1, 13, 53, 689

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 689, 846, 40, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 846, 40, 118 is 1.

Therefore, GCD of numbers 689, 846, 40, 118 is 1

Given Input Data is 689, 846, 40, 118

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 846 is 2 x 3 x 3 x 47

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

Prime Factorization of 118 is 2 x 59

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(689, 846) = 582894

GCD(689, 846) = ( 689 x 846 ) / 582894

GCD(689, 846) = 582894 / 582894

GCD(689, 846) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 689, 846, 40, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 210, 43, 471
• GCD of 387, 196, 91, 988
• GCD of 332, 140, 77, 719
• GCD of 221, 265, 70, 253
• GCD of 151, 299, 88, 871

1. What is the GCD of 689, 846, 40, 118?

GCD of 689, 846, 40, 118 is 1

2. Where do I get the detailed procedure to find GCD of 689, 846, 40, 118?

You can find a detailed procedure to find GCD of 689, 846, 40, 118 on our page.

3. How to find GCD of 689, 846, 40, 118 on a calculator?

You can find the GCD of 689, 846, 40, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.