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GCD of 831, 837, 672, 165 Calculator

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


Online GCD Calculator is useful to find the GCD of 831, 837, 672, 165 quickly. Get the easiest ways to solve the greatest common divisor of 831, 837, 672, 165 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 831, 837, 672, 165 with Factoring?

Given Input numbers are 831, 837, 672, 165

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165


GCD of numbers is the greatest common divisor

So, the GCD (831, 837, 672, 165) = 3.

Find GCD of 831, 837, 672, 165 using Prime Factorization

Given numbers are 831, 837, 672, 165

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 165 are 3 x 5 x 11

The highest common occurrence is 31

Therefore, GCD of 831, 837, 672, 165 is 3.

Steps to Calculate GCD of 831, 837, 672, 165 using LCM Formula

Given numbers are 831, 837, 672, 165

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

Apply this formula for all numbers.

Step1:

LCM(831, 837) = 231849

GCD(831, 837) = ( 831 x 837 ) / 231849

= 831 / 837

= 831


Step2:

LCM(3, 672) = 672

GCD(3, 672) = ( 3 x 672 ) / 672

= 3 / 672

= 3


Step3:

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

= 3 / 165

= 3


So, Greatest Common Divisor of 831, 837, 672, 165 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 831, 837, 672, 165

Given numbers are 831, 837, 672, 165
The greatest common divisor of numbers 831, 837, 672, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 837, 672, 165 is 3.

FAQs on GCD of 831, 837, 672, 165 Calculator

1. What is the GCD of 831, 837, 672, 165?

GCD of given numbers 831, 837, 672, 165 is 3


2. How to calculate the greatest common divisor of 831, 837, 672, 165?

We can find the highest common divisor of 831, 837, 672, 165 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 831, 837, 672, 165 i.e 3.


3. How can I use the GCD of 831, 837, 672, 165Calculator?

Out the numbers 831, 837, 672, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.