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GCD of 873, 240, 153, 117 Calculator

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


Online GCD Calculator is useful to find the GCD of 873, 240, 153, 117 quickly. Get the easiest ways to solve the greatest common divisor of 873, 240, 153, 117 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 873, 240, 153, 117 with Factoring?

Given Input numbers are 873, 240, 153, 117

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117


GCD of numbers is the greatest common divisor

So, the GCD (873, 240, 153, 117) = 3.

Find GCD of 873, 240, 153, 117 using Prime Factorization

Given numbers are 873, 240, 153, 117

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 153 are 3 x 3 x 17

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 31

Therefore, GCD of 873, 240, 153, 117 is 3.

Steps to Calculate GCD of 873, 240, 153, 117 using LCM Formula

Given numbers are 873, 240, 153, 117

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

Apply this formula for all numbers.

Step1:

LCM(873, 240) = 69840

GCD(873, 240) = ( 873 x 240 ) / 69840

= 873 / 240

= 873


Step2:

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

= 3 / 153

= 3


Step3:

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

= 3 / 117

= 3


So, Greatest Common Divisor of 873, 240, 153, 117 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 873, 240, 153, 117

Given numbers are 873, 240, 153, 117
The greatest common divisor of numbers 873, 240, 153, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 240, 153, 117 is 3.

FAQs on GCD of 873, 240, 153, 117 Calculator

1. What is the GCD of 873, 240, 153, 117?

GCD of given numbers 873, 240, 153, 117 is 3


2. How to calculate the greatest common divisor of 873, 240, 153, 117?

We can find the highest common divisor of 873, 240, 153, 117 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 873, 240, 153, 117 i.e 3.


3. How can I use the GCD of 873, 240, 153, 117Calculator?

Out the numbers 873, 240, 153, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.