GCD of 622, 746, 350, 149 Calculator

Given Input numbers are 622, 746, 350, 149

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

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 622, 746, 350, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 746, 350, 149 is 1.

Therefore, GCD of numbers 622, 746, 350, 149 is 1

Given Input Data is 622, 746, 350, 149

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 746 is 2 x 373

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(622, 746) = 232006

GCD(622, 746) = ( 622 x 746 ) / 232006

GCD(622, 746) = 464012 / 232006

GCD(622, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 350

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

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

GCD(2, 350) = 700 / 350

GCD(2, 350) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 149

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

LCM(2, 149) = 298

GCD(2, 149) = ( 2 x 149 ) / 298

GCD(2, 149) = 298 / 298

GCD(2, 149) = 1

GCD of 622, 746, 350, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 331, 129, 210
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• GCD of 237, 490, 230, 908
• GCD of 741, 379, 674, 556
• GCD of 256, 914, 435, 646

1. What is the GCD of 622, 746, 350, 149?

GCD of 622, 746, 350, 149 is 1

2. Where do I get the detailed procedure to find GCD of 622, 746, 350, 149?

You can find a detailed procedure to find GCD of 622, 746, 350, 149 on our page.

3. How to find GCD of 622, 746, 350, 149 on a calculator?

You can find the GCD of 622, 746, 350, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.