GCD of 414, 992, 91, 156 Calculator

Given Input numbers are 414, 992, 91, 156

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

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 414, 992, 91, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 992, 91, 156 is 1.

Therefore, GCD of numbers 414, 992, 91, 156 is 1

Given Input Data is 414, 992, 91, 156

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

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 91 is 7 x 13

Prime Factorization of 156 is 2 x 2 x 3 x 13

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(414, 992) = 205344

GCD(414, 992) = ( 414 x 992 ) / 205344

GCD(414, 992) = 410688 / 205344

GCD(414, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

GCD of 414, 992, 91, 156 is 1

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• GCD of 621, 465, 74, 717
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1. What is the GCD of 414, 992, 91, 156?

GCD of 414, 992, 91, 156 is 1

2. Where do I get the detailed procedure to find GCD of 414, 992, 91, 156?

You can find a detailed procedure to find GCD of 414, 992, 91, 156 on our page.

3. How to find GCD of 414, 992, 91, 156 on a calculator?

You can find the GCD of 414, 992, 91, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.