GCD of 115, 105, 770, 714 Calculator

Given Input numbers are 115, 105, 770, 714

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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

Greatest Common Divisior

We found the divisors of 115, 105, 770, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 105, 770, 714 is 1.

Therefore, GCD of numbers 115, 105, 770, 714 is 1

Given Input Data is 115, 105, 770, 714

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 770 is 2 x 5 x 7 x 11

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

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(115, 105) = 2415

GCD(115, 105) = ( 115 x 105 ) / 2415

GCD(115, 105) = 12075 / 2415

GCD(115, 105) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 770

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

LCM(5, 770) = 770

GCD(5, 770) = ( 5 x 770 ) / 770

GCD(5, 770) = 3850 / 770

GCD(5, 770) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 714

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

LCM(5, 714) = 3570

GCD(5, 714) = ( 5 x 714 ) / 3570

GCD(5, 714) = 3570 / 3570

GCD(5, 714) = 1

GCD of 115, 105, 770, 714 is 1

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1. What is the GCD of 115, 105, 770, 714?

GCD of 115, 105, 770, 714 is 1

2. Where do I get the detailed procedure to find GCD of 115, 105, 770, 714?

You can find a detailed procedure to find GCD of 115, 105, 770, 714 on our page.

3. How to find GCD of 115, 105, 770, 714 on a calculator?

You can find the GCD of 115, 105, 770, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.