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GCD of 798, 225, 720, 435 Calculator

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


Online GCD Calculator is useful to find the GCD of 798, 225, 720, 435 quickly. Get the easiest ways to solve the greatest common divisor of 798, 225, 720, 435 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 798, 225, 720, 435 with Factoring?

Given Input numbers are 798, 225, 720, 435

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 225 :

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

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435


GCD of numbers is the greatest common divisor

So, the GCD (798, 225, 720, 435) = 3.

Find GCD of 798, 225, 720, 435 using Prime Factorization

Given numbers are 798, 225, 720, 435

The list of prime factors of all numbers are

Prime factors of 798 are 2 x 3 x 7 x 19

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

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 435 are 3 x 5 x 29

The highest common occurrence is 31

Therefore, GCD of 798, 225, 720, 435 is 3.

Steps to Calculate GCD of 798, 225, 720, 435 using LCM Formula

Given numbers are 798, 225, 720, 435

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

Apply this formula for all numbers.

Step1:

LCM(798, 225) = 59850

GCD(798, 225) = ( 798 x 225 ) / 59850

= 798 / 225

= 798


Step2:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3


Step3:

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

= 3 / 435

= 3


So, Greatest Common Divisor of 798, 225, 720, 435 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 798, 225, 720, 435

Given numbers are 798, 225, 720, 435
The greatest common divisor of numbers 798, 225, 720, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 225, 720, 435 is 3.

FAQs on GCD of 798, 225, 720, 435 Calculator

1. What is the GCD of 798, 225, 720, 435?

GCD of given numbers 798, 225, 720, 435 is 3


2. How to calculate the greatest common divisor of 798, 225, 720, 435?

We can find the highest common divisor of 798, 225, 720, 435 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 798, 225, 720, 435 i.e 3.


3. How can I use the GCD of 798, 225, 720, 435Calculator?

Out the numbers 798, 225, 720, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.