GCD of 714, 885, 43, 169 Calculator

Given Input numbers are 714, 885, 43, 169

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

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 714, 885, 43, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 885, 43, 169 is 1.

Therefore, GCD of numbers 714, 885, 43, 169 is 1

Given Input Data is 714, 885, 43, 169

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 43 is 43

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(714, 885) = 210630

GCD(714, 885) = ( 714 x 885 ) / 210630

GCD(714, 885) = 631890 / 210630

GCD(714, 885) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 43

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

LCM(3, 43) = 129

GCD(3, 43) = ( 3 x 43 ) / 129

GCD(3, 43) = 129 / 129

GCD(3, 43) = 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 714, 885, 43, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 925, 40, 393
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• GCD of 107, 880, 63, 625
• GCD of 521, 658, 95, 216
• GCD of 874, 106, 38, 824

1. What is the GCD of 714, 885, 43, 169?

GCD of 714, 885, 43, 169 is 1

2. Where do I get the detailed procedure to find GCD of 714, 885, 43, 169?

You can find a detailed procedure to find GCD of 714, 885, 43, 169 on our page.

3. How to find GCD of 714, 885, 43, 169 on a calculator?

You can find the GCD of 714, 885, 43, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.