GCD of 140, 686, 69, 344 Calculator

Given Input numbers are 140, 686, 69, 344

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 140, 686, 69, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 686, 69, 344 is 1.

Therefore, GCD of numbers 140, 686, 69, 344 is 1

Given Input Data is 140, 686, 69, 344

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 69 is 3 x 23

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(140, 686) = 6860

GCD(140, 686) = ( 140 x 686 ) / 6860

GCD(140, 686) = 96040 / 6860

GCD(140, 686) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 69

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

LCM(14, 69) = 966

GCD(14, 69) = ( 14 x 69 ) / 966

GCD(14, 69) = 966 / 966

GCD(14, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 140, 686, 69, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 273, 72, 589
• GCD of 887, 875, 92, 993
• GCD of 501, 717, 58, 683
• GCD of 358, 770, 87, 469
• GCD of 905, 745, 37, 466

1. What is the GCD of 140, 686, 69, 344?

GCD of 140, 686, 69, 344 is 1

2. Where do I get the detailed procedure to find GCD of 140, 686, 69, 344?

You can find a detailed procedure to find GCD of 140, 686, 69, 344 on our page.

3. How to find GCD of 140, 686, 69, 344 on a calculator?

You can find the GCD of 140, 686, 69, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.