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GCD of 535, 120, 815, 865 Calculator

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


Online GCD Calculator is useful to find the GCD of 535, 120, 815, 865 quickly. Get the easiest ways to solve the greatest common divisor of 535, 120, 815, 865 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 535, 120, 815, 865 with Factoring?

Given Input numbers are 535, 120, 815, 865

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

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865


GCD of numbers is the greatest common divisor

So, the GCD (535, 120, 815, 865) = 5.

Find GCD of 535, 120, 815, 865 using Prime Factorization

Given numbers are 535, 120, 815, 865

The list of prime factors of all numbers are

Prime factors of 535 are 5 x 107

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 815 are 5 x 163

Prime factors of 865 are 5 x 173

The highest common occurrence is 51

Therefore, GCD of 535, 120, 815, 865 is 5.

Steps to Calculate GCD of 535, 120, 815, 865 using LCM Formula

Given numbers are 535, 120, 815, 865

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

Apply this formula for all numbers.

Step1:

LCM(535, 120) = 12840

GCD(535, 120) = ( 535 x 120 ) / 12840

= 535 / 120

= 535


Step2:

LCM(5, 815) = 815

GCD(5, 815) = ( 5 x 815 ) / 815

= 5 / 815

= 5


Step3:

LCM(5, 865) = 865

GCD(5, 865) = ( 5 x 865 ) / 865

= 5 / 865

= 5


So, Greatest Common Divisor of 535, 120, 815, 865 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 535, 120, 815, 865

Given numbers are 535, 120, 815, 865
The greatest common divisor of numbers 535, 120, 815, 865 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 535, 120, 815, 865 is 5.

FAQs on GCD of 535, 120, 815, 865 Calculator

1. What is the GCD of 535, 120, 815, 865?

GCD of given numbers 535, 120, 815, 865 is 5


2. How to calculate the greatest common divisor of 535, 120, 815, 865?

We can find the highest common divisor of 535, 120, 815, 865 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 535, 120, 815, 865 i.e 5.


3. How can I use the GCD of 535, 120, 815, 865Calculator?

Out the numbers 535, 120, 815, 865 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.