GCD of 739, 112, 91, 414 Calculator

Given Input numbers are 739, 112, 91, 414

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

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 91

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

1, 7, 13, 91

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 739, 112, 91, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 112, 91, 414 is 1.

Therefore, GCD of numbers 739, 112, 91, 414 is 1

Given Input Data is 739, 112, 91, 414

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

Prime Factorization of 739 is 739

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 91 is 7 x 13

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(739, 112) = 82768

GCD(739, 112) = ( 739 x 112 ) / 82768

GCD(739, 112) = 82768 / 82768

GCD(739, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 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 739, 112, 91, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 839, 87, 935
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• GCD of 229, 530, 91, 895

1. What is the GCD of 739, 112, 91, 414?

GCD of 739, 112, 91, 414 is 1

2. Where do I get the detailed procedure to find GCD of 739, 112, 91, 414?

You can find a detailed procedure to find GCD of 739, 112, 91, 414 on our page.

3. How to find GCD of 739, 112, 91, 414 on a calculator?

You can find the GCD of 739, 112, 91, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.