GCD of 918, 420, 65, 375 Calculator

Given Input numbers are 918, 420, 65, 375

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

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 918, 420, 65, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 420, 65, 375 is 1.

Therefore, GCD of numbers 918, 420, 65, 375 is 1

Given Input Data is 918, 420, 65, 375

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

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 65 is 5 x 13

Prime Factorization of 375 is 3 x 5 x 5 x 5

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(918, 420) = 64260

GCD(918, 420) = ( 918 x 420 ) / 64260

GCD(918, 420) = 385560 / 64260

GCD(918, 420) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 65

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

LCM(6, 65) = 390

GCD(6, 65) = ( 6 x 65 ) / 390

GCD(6, 65) = 390 / 390

GCD(6, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 918, 420, 65, 375 is 1

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• GCD of 295, 813, 22, 776
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1. What is the GCD of 918, 420, 65, 375?

GCD of 918, 420, 65, 375 is 1

2. Where do I get the detailed procedure to find GCD of 918, 420, 65, 375?

You can find a detailed procedure to find GCD of 918, 420, 65, 375 on our page.

3. How to find GCD of 918, 420, 65, 375 on a calculator?

You can find the GCD of 918, 420, 65, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.