GCD of 914, 679, 591, 740 Calculator

Given Input numbers are 914, 679, 591, 740

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 914, 679, 591, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 679, 591, 740 is 1.

Therefore, GCD of numbers 914, 679, 591, 740 is 1

Given Input Data is 914, 679, 591, 740

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 679 is 7 x 97

Prime Factorization of 591 is 3 x 197

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(914, 679) = 620606

GCD(914, 679) = ( 914 x 679 ) / 620606

GCD(914, 679) = 620606 / 620606

GCD(914, 679) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 914, 679, 591, 740 is 1

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1. What is the GCD of 914, 679, 591, 740?

GCD of 914, 679, 591, 740 is 1

2. Where do I get the detailed procedure to find GCD of 914, 679, 591, 740?

You can find a detailed procedure to find GCD of 914, 679, 591, 740 on our page.

3. How to find GCD of 914, 679, 591, 740 on a calculator?

You can find the GCD of 914, 679, 591, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.