GCD of 597, 914, 542, 850 Calculator

Given Input numbers are 597, 914, 542, 850

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

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 914

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

1, 2, 457, 914

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 597, 914, 542, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 914, 542, 850 is 1.

Therefore, GCD of numbers 597, 914, 542, 850 is 1

Given Input Data is 597, 914, 542, 850

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

Prime Factorization of 597 is 3 x 199

Prime Factorization of 914 is 2 x 457

Prime Factorization of 542 is 2 x 271

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(597, 914) = 545658

GCD(597, 914) = ( 597 x 914 ) / 545658

GCD(597, 914) = 545658 / 545658

GCD(597, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 597, 914, 542, 850 is 1

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1. What is the GCD of 597, 914, 542, 850?

GCD of 597, 914, 542, 850 is 1

2. Where do I get the detailed procedure to find GCD of 597, 914, 542, 850?

You can find a detailed procedure to find GCD of 597, 914, 542, 850 on our page.

3. How to find GCD of 597, 914, 542, 850 on a calculator?

You can find the GCD of 597, 914, 542, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.