GCD of 107, 270, 614, 574 Calculator

Given Input numbers are 107, 270, 614, 574

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 107, 270, 614, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 270, 614, 574 is 1.

Therefore, GCD of numbers 107, 270, 614, 574 is 1

Given Input Data is 107, 270, 614, 574

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

Prime Factorization of 107 is 107

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 614 is 2 x 307

Prime Factorization of 574 is 2 x 7 x 41

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(107, 270) = 28890

GCD(107, 270) = ( 107 x 270 ) / 28890

GCD(107, 270) = 28890 / 28890

GCD(107, 270) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 107, 270, 614, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 233, 552, 361
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• GCD of 872, 756, 264, 410
• GCD of 946, 937, 798, 126

1. What is the GCD of 107, 270, 614, 574?

GCD of 107, 270, 614, 574 is 1

2. Where do I get the detailed procedure to find GCD of 107, 270, 614, 574?

You can find a detailed procedure to find GCD of 107, 270, 614, 574 on our page.

3. How to find GCD of 107, 270, 614, 574 on a calculator?

You can find the GCD of 107, 270, 614, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.