GCD of 149, 283, 699, 154 Calculator

Given Input numbers are 149, 283, 699, 154

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

Divisors of 149

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

1, 149

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 149, 283, 699, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 283, 699, 154 is 1.

Therefore, GCD of numbers 149, 283, 699, 154 is 1

Given Input Data is 149, 283, 699, 154

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

Prime Factorization of 149 is 149

Prime Factorization of 283 is 283

Prime Factorization of 699 is 3 x 233

Prime Factorization of 154 is 2 x 7 x 11

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(149, 283) = 42167

GCD(149, 283) = ( 149 x 283 ) / 42167

GCD(149, 283) = 42167 / 42167

GCD(149, 283) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 149, 283, 699, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 301, 721, 466
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• GCD of 466, 455, 251, 883
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• GCD of 969, 140, 376, 195

1. What is the GCD of 149, 283, 699, 154?

GCD of 149, 283, 699, 154 is 1

2. Where do I get the detailed procedure to find GCD of 149, 283, 699, 154?

You can find a detailed procedure to find GCD of 149, 283, 699, 154 on our page.

3. How to find GCD of 149, 283, 699, 154 on a calculator?

You can find the GCD of 149, 283, 699, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.