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GCD of 801, 690, 867, 225 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 801, 690, 867, 225 quickly. Get the easiest ways to solve the greatest common divisor of 801, 690, 867, 225 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 801, 690, 867, 225 with Factoring?

Given Input numbers are 801, 690, 867, 225

In the factoring method, we have to find the divisors of all numbers

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225


GCD of numbers is the greatest common divisor

So, the GCD (801, 690, 867, 225) = 3.

Find GCD of 801, 690, 867, 225 using Prime Factorization

Given numbers are 801, 690, 867, 225

The list of prime factors of all numbers are

Prime factors of 801 are 3 x 3 x 89

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 867 are 3 x 17 x 17

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 31

Therefore, GCD of 801, 690, 867, 225 is 3.

Steps to Calculate GCD of 801, 690, 867, 225 using LCM Formula

Given numbers are 801, 690, 867, 225

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(801, 690) = 184230

GCD(801, 690) = ( 801 x 690 ) / 184230

= 801 / 690

= 801


Step2:

LCM(3, 867) = 867

GCD(3, 867) = ( 3 x 867 ) / 867

= 3 / 867

= 3


Step3:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3


So, Greatest Common Divisor of 801, 690, 867, 225 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 801, 690, 867, 225

Given numbers are 801, 690, 867, 225
The greatest common divisor of numbers 801, 690, 867, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 690, 867, 225 is 3.

FAQs on GCD of 801, 690, 867, 225 Calculator

1. What is the GCD of 801, 690, 867, 225?

GCD of given numbers 801, 690, 867, 225 is 3


2. How to calculate the greatest common divisor of 801, 690, 867, 225?

We can find the highest common divisor of 801, 690, 867, 225 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 801, 690, 867, 225 i.e 3.


3. How can I use the GCD of 801, 690, 867, 225Calculator?

Out the numbers 801, 690, 867, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.