GCD of 700, 279, 29, 149 Calculator

Given Input numbers are 700, 279, 29, 149

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 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 700, 279, 29, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 279, 29, 149 is 1.

Therefore, GCD of numbers 700, 279, 29, 149 is 1

Given Input Data is 700, 279, 29, 149

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 279 is 3 x 3 x 31

Prime Factorization of 29 is 29

Prime Factorization of 149 is 149

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, 279) = 195300

GCD(700, 279) = ( 700 x 279 ) / 195300

GCD(700, 279) = 195300 / 195300

GCD(700, 279) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 700, 279, 29, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 477, 79, 530
• GCD of 538, 696, 90, 493
• GCD of 677, 445, 17, 108
• GCD of 462, 173, 11, 690
• GCD of 213, 274, 74, 115

1. What is the GCD of 700, 279, 29, 149?

GCD of 700, 279, 29, 149 is 1

2. Where do I get the detailed procedure to find GCD of 700, 279, 29, 149?

You can find a detailed procedure to find GCD of 700, 279, 29, 149 on our page.

3. How to find GCD of 700, 279, 29, 149 on a calculator?

You can find the GCD of 700, 279, 29, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.