GCD of 336, 254, 77, 414 Calculator

Given Input numbers are 336, 254, 77, 414

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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

Greatest Common Divisior

We found the divisors of 336, 254, 77, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 254, 77, 414 is 1.

Therefore, GCD of numbers 336, 254, 77, 414 is 1

Given Input Data is 336, 254, 77, 414

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 254 is 2 x 127

Prime Factorization of 77 is 7 x 11

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

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(336, 254) = 42672

GCD(336, 254) = ( 336 x 254 ) / 42672

GCD(336, 254) = 85344 / 42672

GCD(336, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 336, 254, 77, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 870, 92, 384
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• GCD of 297, 274, 93, 505
• GCD of 793, 836, 43, 976
• GCD of 915, 840, 50, 869

1. What is the GCD of 336, 254, 77, 414?

GCD of 336, 254, 77, 414 is 1

2. Where do I get the detailed procedure to find GCD of 336, 254, 77, 414?

You can find a detailed procedure to find GCD of 336, 254, 77, 414 on our page.

3. How to find GCD of 336, 254, 77, 414 on a calculator?

You can find the GCD of 336, 254, 77, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.