GCD of 49, 649, 454, 381 Calculator

Given Input numbers are 49, 649, 454, 381

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 49, 649, 454, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 649, 454, 381 is 1.

Therefore, GCD of numbers 49, 649, 454, 381 is 1

Given Input Data is 49, 649, 454, 381

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 649 is 11 x 59

Prime Factorization of 454 is 2 x 227

Prime Factorization of 381 is 3 x 127

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(49, 649) = 31801

GCD(49, 649) = ( 49 x 649 ) / 31801

GCD(49, 649) = 31801 / 31801

GCD(49, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 49, 649, 454, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 316, 555, 729
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• GCD of 25, 656, 511, 921
• GCD of 62, 464, 746, 368
• GCD of 17, 901, 992, 940

1. What is the GCD of 49, 649, 454, 381?

GCD of 49, 649, 454, 381 is 1

2. Where do I get the detailed procedure to find GCD of 49, 649, 454, 381?

You can find a detailed procedure to find GCD of 49, 649, 454, 381 on our page.

3. How to find GCD of 49, 649, 454, 381 on a calculator?

You can find the GCD of 49, 649, 454, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.