GCD of 199, 154, 704, 735 Calculator

Given Input numbers are 199, 154, 704, 735

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 199, 154, 704, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 154, 704, 735 is 1.

Therefore, GCD of numbers 199, 154, 704, 735 is 1

Given Input Data is 199, 154, 704, 735

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

Prime Factorization of 199 is 199

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(199, 154) = 30646

GCD(199, 154) = ( 199 x 154 ) / 30646

GCD(199, 154) = 30646 / 30646

GCD(199, 154) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 199, 154, 704, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 972, 274, 164
• GCD of 745, 163, 628, 197
• GCD of 678, 914, 134, 946
• GCD of 956, 741, 107, 226
• GCD of 889, 520, 483, 288

1. What is the GCD of 199, 154, 704, 735?

GCD of 199, 154, 704, 735 is 1

2. Where do I get the detailed procedure to find GCD of 199, 154, 704, 735?

You can find a detailed procedure to find GCD of 199, 154, 704, 735 on our page.

3. How to find GCD of 199, 154, 704, 735 on a calculator?

You can find the GCD of 199, 154, 704, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.