GCD of 700, 224, 26, 735 Calculator

Given Input numbers are 700, 224, 26, 735

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 700, 224, 26, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 224, 26, 735 is 1.

Therefore, GCD of numbers 700, 224, 26, 735 is 1

Given Input Data is 700, 224, 26, 735

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 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 26 is 2 x 13

Prime Factorization of 735 is 3 x 5 x 7 x 7

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, 224) = 5600

GCD(700, 224) = ( 700 x 224 ) / 5600

GCD(700, 224) = 156800 / 5600

GCD(700, 224) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 26

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

LCM(28, 26) = 364

GCD(28, 26) = ( 28 x 26 ) / 364

GCD(28, 26) = 728 / 364

GCD(28, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

GCD of 700, 224, 26, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 751, 89, 295
• GCD of 656, 146, 40, 654
• GCD of 131, 934, 42, 979
• GCD of 639, 790, 41, 376
• GCD of 508, 803, 66, 539

1. What is the GCD of 700, 224, 26, 735?

GCD of 700, 224, 26, 735 is 1

2. Where do I get the detailed procedure to find GCD of 700, 224, 26, 735?

You can find a detailed procedure to find GCD of 700, 224, 26, 735 on our page.

3. How to find GCD of 700, 224, 26, 735 on a calculator?

You can find the GCD of 700, 224, 26, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.