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GCD of 832, 140, 644 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, 140, 644 quickly. Get the easiest ways to solve the greatest common divisor of 832, 140, 644 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 832, 140, 644 with Factoring?

Given Input numbers are 832, 140, 644

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 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644


GCD of numbers is the greatest common divisor

So, the GCD (832, 140, 644) = 4.

Find GCD of 832, 140, 644 using Prime Factorization

Given numbers are 832, 140, 644

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 140 are 2 x 2 x 5 x 7

Prime factors of 644 are 2 x 2 x 7 x 23

The highest common occurrence is 22

Therefore, GCD of 832, 140, 644 is 4.

Steps to Calculate GCD of 832, 140, 644 using LCM Formula

Given numbers are 832, 140, 644

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

Apply this formula for all numbers.

Step1:

LCM(832, 140) = 29120

GCD(832, 140) = ( 832 x 140 ) / 29120

= 832 / 140

= 832


Step2:

LCM(4, 644) = 644

GCD(4, 644) = ( 4 x 644 ) / 644

= 4 / 644

= 4


So, Greatest Common Divisor of 832, 140, 644 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 832, 140, 644

Given numbers are 832, 140, 644
The greatest common divisor of numbers 832, 140, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 140, 644 is 4.

FAQs on GCD of 832, 140, 644 Calculator

1. What is the GCD of 832, 140, 644?

GCD of given numbers 832, 140, 644 is 4


2. How to calculate the greatest common divisor of 832, 140, 644?

We can find the highest common divisor of 832, 140, 644 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, 140, 644 i.e 4.


3. How can I use the GCD of 832, 140, 644Calculator?

Out the numbers 832, 140, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.