GCD of 154, 378, 431, 211 Calculator

Given Input numbers are 154, 378, 431, 211

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

Divisors of 154

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

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 154, 378, 431, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 378, 431, 211 is 1.

Therefore, GCD of numbers 154, 378, 431, 211 is 1

Given Input Data is 154, 378, 431, 211

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 431 is 431

Prime Factorization of 211 is 211

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(154, 378) = 4158

GCD(154, 378) = ( 154 x 378 ) / 4158

GCD(154, 378) = 58212 / 4158

GCD(154, 378) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 431

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

LCM(14, 431) = 6034

GCD(14, 431) = ( 14 x 431 ) / 6034

GCD(14, 431) = 6034 / 6034

GCD(14, 431) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 211

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

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

GCD(1, 211) = 211 / 211

GCD(1, 211) = 1

GCD of 154, 378, 431, 211 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 225, 663, 917
• GCD of 210, 571, 578, 204
• GCD of 908, 704, 795, 151
• GCD of 604, 106, 334, 498
• GCD of 971, 742, 235, 663

1. What is the GCD of 154, 378, 431, 211?

GCD of 154, 378, 431, 211 is 1

2. Where do I get the detailed procedure to find GCD of 154, 378, 431, 211?

You can find a detailed procedure to find GCD of 154, 378, 431, 211 on our page.

3. How to find GCD of 154, 378, 431, 211 on a calculator?

You can find the GCD of 154, 378, 431, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.