GCD of 29, 358, 640, 148 Calculator

Given Input numbers are 29, 358, 640, 148

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

Divisors of 29

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

1, 29

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 29, 358, 640, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 358, 640, 148 is 1.

Therefore, GCD of numbers 29, 358, 640, 148 is 1

Given Input Data is 29, 358, 640, 148

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

Prime Factorization of 29 is 29

Prime Factorization of 358 is 2 x 179

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 148 is 2 x 2 x 37

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(29, 358) = 10382

GCD(29, 358) = ( 29 x 358 ) / 10382

GCD(29, 358) = 10382 / 10382

GCD(29, 358) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 29, 358, 640, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 274, 416, 244
• GCD of 44, 628, 495, 870
• GCD of 57, 967, 175, 562
• GCD of 92, 738, 129, 266
• GCD of 11, 419, 201, 146

1. What is the GCD of 29, 358, 640, 148?

GCD of 29, 358, 640, 148 is 1

2. Where do I get the detailed procedure to find GCD of 29, 358, 640, 148?

You can find a detailed procedure to find GCD of 29, 358, 640, 148 on our page.

3. How to find GCD of 29, 358, 640, 148 on a calculator?

You can find the GCD of 29, 358, 640, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.