GCD of 370, 749, 918, 565 Calculator

Given Input numbers are 370, 749, 918, 565

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 370, 749, 918, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 749, 918, 565 is 1.

Therefore, GCD of numbers 370, 749, 918, 565 is 1

Given Input Data is 370, 749, 918, 565

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 749 is 7 x 107

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 565 is 5 x 113

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(370, 749) = 277130

GCD(370, 749) = ( 370 x 749 ) / 277130

GCD(370, 749) = 277130 / 277130

GCD(370, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 370, 749, 918, 565 is 1

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1. What is the GCD of 370, 749, 918, 565?

GCD of 370, 749, 918, 565 is 1

2. Where do I get the detailed procedure to find GCD of 370, 749, 918, 565?

You can find a detailed procedure to find GCD of 370, 749, 918, 565 on our page.

3. How to find GCD of 370, 749, 918, 565 on a calculator?

You can find the GCD of 370, 749, 918, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.