GCD of 814, 134, 42, 991 Calculator

Given Input numbers are 814, 134, 42, 991

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 814, 134, 42, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 134, 42, 991 is 1.

Therefore, GCD of numbers 814, 134, 42, 991 is 1

Given Input Data is 814, 134, 42, 991

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 134 is 2 x 67

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 991 is 991

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(814, 134) = 54538

GCD(814, 134) = ( 814 x 134 ) / 54538

GCD(814, 134) = 109076 / 54538

GCD(814, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 991

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

LCM(2, 991) = 1982

GCD(2, 991) = ( 2 x 991 ) / 1982

GCD(2, 991) = 1982 / 1982

GCD(2, 991) = 1

GCD of 814, 134, 42, 991 is 1

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• GCD of 469, 924, 21, 887
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1. What is the GCD of 814, 134, 42, 991?

GCD of 814, 134, 42, 991 is 1

2. Where do I get the detailed procedure to find GCD of 814, 134, 42, 991?

You can find a detailed procedure to find GCD of 814, 134, 42, 991 on our page.

3. How to find GCD of 814, 134, 42, 991 on a calculator?

You can find the GCD of 814, 134, 42, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.