GCD of 700, 225, 76, 115 Calculator

Given Input numbers are 700, 225, 76, 115

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 115

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

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 700, 225, 76, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 225, 76, 115 is 1.

Therefore, GCD of numbers 700, 225, 76, 115 is 1

Given Input Data is 700, 225, 76, 115

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 115 is 5 x 23

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(700, 225) = 6300

GCD(700, 225) = ( 700 x 225 ) / 6300

GCD(700, 225) = 157500 / 6300

GCD(700, 225) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 76

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

LCM(25, 76) = 1900

GCD(25, 76) = ( 25 x 76 ) / 1900

GCD(25, 76) = 1900 / 1900

GCD(25, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 700, 225, 76, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 552, 89, 331
• GCD of 293, 234, 53, 479
• GCD of 270, 393, 69, 395
• GCD of 684, 530, 79, 762
• GCD of 823, 127, 80, 651

1. What is the GCD of 700, 225, 76, 115?

GCD of 700, 225, 76, 115 is 1

2. Where do I get the detailed procedure to find GCD of 700, 225, 76, 115?

You can find a detailed procedure to find GCD of 700, 225, 76, 115 on our page.

3. How to find GCD of 700, 225, 76, 115 on a calculator?

You can find the GCD of 700, 225, 76, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.