GCD of 153, 655, 44, 343 Calculator

Given Input numbers are 153, 655, 44, 343

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 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 153, 655, 44, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 655, 44, 343 is 1.

Therefore, GCD of numbers 153, 655, 44, 343 is 1

Given Input Data is 153, 655, 44, 343

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 655 is 5 x 131

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 343 is 7 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(153, 655) = 100215

GCD(153, 655) = ( 153 x 655 ) / 100215

GCD(153, 655) = 100215 / 100215

GCD(153, 655) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 153, 655, 44, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 608, 66, 774
• GCD of 450, 490, 52, 447
• GCD of 426, 563, 12, 817
• GCD of 517, 541, 98, 938
• GCD of 625, 112, 85, 320

1. What is the GCD of 153, 655, 44, 343?

GCD of 153, 655, 44, 343 is 1

2. Where do I get the detailed procedure to find GCD of 153, 655, 44, 343?

You can find a detailed procedure to find GCD of 153, 655, 44, 343 on our page.

3. How to find GCD of 153, 655, 44, 343 on a calculator?

You can find the GCD of 153, 655, 44, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.