GCD of 785, 838, 69, 169 Calculator

Given Input numbers are 785, 838, 69, 169

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 69

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

1, 3, 23, 69

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 785, 838, 69, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 838, 69, 169 is 1.

Therefore, GCD of numbers 785, 838, 69, 169 is 1

Given Input Data is 785, 838, 69, 169

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 838 is 2 x 419

Prime Factorization of 69 is 3 x 23

Prime Factorization of 169 is 13 x 13

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(785, 838) = 657830

GCD(785, 838) = ( 785 x 838 ) / 657830

GCD(785, 838) = 657830 / 657830

GCD(785, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 785, 838, 69, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 922, 54, 146
• GCD of 420, 802, 14, 299
• GCD of 735, 121, 12, 639
• GCD of 278, 607, 16, 842
• GCD of 227, 776, 19, 799

1. What is the GCD of 785, 838, 69, 169?

GCD of 785, 838, 69, 169 is 1

2. Where do I get the detailed procedure to find GCD of 785, 838, 69, 169?

You can find a detailed procedure to find GCD of 785, 838, 69, 169 on our page.

3. How to find GCD of 785, 838, 69, 169 on a calculator?

You can find the GCD of 785, 838, 69, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.