GCD of 706, 734, 87, 919 Calculator

Given Input numbers are 706, 734, 87, 919

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 706, 734, 87, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 734, 87, 919 is 1.

Therefore, GCD of numbers 706, 734, 87, 919 is 1

Given Input Data is 706, 734, 87, 919

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 734 is 2 x 367

Prime Factorization of 87 is 3 x 29

Prime Factorization of 919 is 919

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(706, 734) = 259102

GCD(706, 734) = ( 706 x 734 ) / 259102

GCD(706, 734) = 518204 / 259102

GCD(706, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 706, 734, 87, 919 is 1

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• GCD of 774, 371, 42, 363
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1. What is the GCD of 706, 734, 87, 919?

GCD of 706, 734, 87, 919 is 1

2. Where do I get the detailed procedure to find GCD of 706, 734, 87, 919?

You can find a detailed procedure to find GCD of 706, 734, 87, 919 on our page.

3. How to find GCD of 706, 734, 87, 919 on a calculator?

You can find the GCD of 706, 734, 87, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.