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GCD of 832, 208, 87 Calculator

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


Online GCD Calculator is useful to find the GCD of 832, 208, 87 quickly. Get the easiest ways to solve the greatest common divisor of 832, 208, 87 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 832, 208, 87 with Factoring?

Given Input numbers are 832, 208, 87

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

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87


GCD of numbers is the greatest common divisor

So, the GCD (832, 208, 87) = 1.

Find GCD of 832, 208, 87 using Prime Factorization

Given numbers are 832, 208, 87

The list of prime factors of all numbers are

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 87 are 3 x 29

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 832, 208, 87 using LCM Formula

Given numbers are 832, 208, 87

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

Apply this formula for all numbers.

Step1:

LCM(832, 208) = 832

GCD(832, 208) = ( 832 x 208 ) / 832

= 832 / 208

= 832


Step2:

LCM(208, 87) = 18096

GCD(208, 87) = ( 208 x 87 ) / 18096

= 208 / 87

= 208


So, Greatest Common Divisor of 832, 208, 87 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 832, 208, 87

Given numbers are 832, 208, 87
The greatest common divisor of numbers 832, 208, 87 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 208, 87 is 1.

FAQs on GCD of 832, 208, 87 Calculator

1. What is the GCD of 832, 208, 87?

GCD of given numbers 832, 208, 87 is 1


2. How to calculate the greatest common divisor of 832, 208, 87?

We can find the highest common divisor of 832, 208, 87 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 832, 208, 87 i.e 1.


3. How can I use the GCD of 832, 208, 87Calculator?

Out the numbers 832, 208, 87 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.