GCD of 376, 414, 121, 373 Calculator

Given Input numbers are 376, 414, 121, 373

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Greatest Common Divisior

We found the divisors of 376, 414, 121, 373 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 414, 121, 373 is 1.

Therefore, GCD of numbers 376, 414, 121, 373 is 1

Given Input Data is 376, 414, 121, 373

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 121 is 11 x 11

Prime Factorization of 373 is 373

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(376, 414) = 77832

GCD(376, 414) = ( 376 x 414 ) / 77832

GCD(376, 414) = 155664 / 77832

GCD(376, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 121

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

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

GCD(2, 121) = 242 / 242

GCD(2, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 373

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

LCM(1, 373) = 373

GCD(1, 373) = ( 1 x 373 ) / 373

GCD(1, 373) = 373 / 373

GCD(1, 373) = 1

GCD of 376, 414, 121, 373 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 516, 671, 270
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• GCD of 276, 260, 271, 462
• GCD of 212, 264, 275, 473
• GCD of 661, 658, 822, 626

1. What is the GCD of 376, 414, 121, 373?

GCD of 376, 414, 121, 373 is 1

2. Where do I get the detailed procedure to find GCD of 376, 414, 121, 373?

You can find a detailed procedure to find GCD of 376, 414, 121, 373 on our page.

3. How to find GCD of 376, 414, 121, 373 on a calculator?

You can find the GCD of 376, 414, 121, 373 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.