GCD of 700, 767, 53, 255 Calculator

Given Input numbers are 700, 767, 53, 255

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 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 700, 767, 53, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 767, 53, 255 is 1.

Therefore, GCD of numbers 700, 767, 53, 255 is 1

Given Input Data is 700, 767, 53, 255

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 767 is 13 x 59

Prime Factorization of 53 is 53

Prime Factorization of 255 is 3 x 5 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(700, 767) = 536900

GCD(700, 767) = ( 700 x 767 ) / 536900

GCD(700, 767) = 536900 / 536900

GCD(700, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 700, 767, 53, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 183, 18, 517
• GCD of 990, 429, 80, 180
• GCD of 248, 652, 54, 433
• GCD of 180, 956, 36, 601
• GCD of 677, 400, 26, 221

1. What is the GCD of 700, 767, 53, 255?

GCD of 700, 767, 53, 255 is 1

2. Where do I get the detailed procedure to find GCD of 700, 767, 53, 255?

You can find a detailed procedure to find GCD of 700, 767, 53, 255 on our page.

3. How to find GCD of 700, 767, 53, 255 on a calculator?

You can find the GCD of 700, 767, 53, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.