GCD of 153, 702, 920, 293 Calculator

Given Input numbers are 153, 702, 920, 293

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 153, 702, 920, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 702, 920, 293 is 1.

Therefore, GCD of numbers 153, 702, 920, 293 is 1

Given Input Data is 153, 702, 920, 293

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 293 is 293

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(153, 702) = 11934

GCD(153, 702) = ( 153 x 702 ) / 11934

GCD(153, 702) = 107406 / 11934

GCD(153, 702) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 920

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

LCM(9, 920) = 8280

GCD(9, 920) = ( 9 x 920 ) / 8280

GCD(9, 920) = 8280 / 8280

GCD(9, 920) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 153, 702, 920, 293 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 767, 600, 282
• GCD of 788, 810, 810, 219
• GCD of 815, 866, 310, 254
• GCD of 701, 255, 773, 999
• GCD of 296, 841, 846, 688

1. What is the GCD of 153, 702, 920, 293?

GCD of 153, 702, 920, 293 is 1

2. Where do I get the detailed procedure to find GCD of 153, 702, 920, 293?

You can find a detailed procedure to find GCD of 153, 702, 920, 293 on our page.

3. How to find GCD of 153, 702, 920, 293 on a calculator?

You can find the GCD of 153, 702, 920, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.