GCD of 90, 807, 427, 750 Calculator

Given Input numbers are 90, 807, 427, 750

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 90, 807, 427, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 807, 427, 750 is 1.

Therefore, GCD of numbers 90, 807, 427, 750 is 1

Given Input Data is 90, 807, 427, 750

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 807 is 3 x 269

Prime Factorization of 427 is 7 x 61

Prime Factorization of 750 is 2 x 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(90, 807) = 24210

GCD(90, 807) = ( 90 x 807 ) / 24210

GCD(90, 807) = 72630 / 24210

GCD(90, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 427

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

LCM(3, 427) = 1281

GCD(3, 427) = ( 3 x 427 ) / 1281

GCD(3, 427) = 1281 / 1281

GCD(3, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 90, 807, 427, 750 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 588, 870, 950
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• GCD of 54, 447, 746, 127

1. What is the GCD of 90, 807, 427, 750?

GCD of 90, 807, 427, 750 is 1

2. Where do I get the detailed procedure to find GCD of 90, 807, 427, 750?

You can find a detailed procedure to find GCD of 90, 807, 427, 750 on our page.

3. How to find GCD of 90, 807, 427, 750 on a calculator?

You can find the GCD of 90, 807, 427, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.