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GCD of 147, 834, 384, 804 Calculator

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


Online GCD Calculator is useful to find the GCD of 147, 834, 384, 804 quickly. Get the easiest ways to solve the greatest common divisor of 147, 834, 384, 804 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 147, 834, 384, 804 with Factoring?

Given Input numbers are 147, 834, 384, 804

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804


GCD of numbers is the greatest common divisor

So, the GCD (147, 834, 384, 804) = 3.

Find GCD of 147, 834, 384, 804 using Prime Factorization

Given numbers are 147, 834, 384, 804

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 834 are 2 x 3 x 139

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 31

Therefore, GCD of 147, 834, 384, 804 is 3.

Steps to Calculate GCD of 147, 834, 384, 804 using LCM Formula

Given numbers are 147, 834, 384, 804

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

Apply this formula for all numbers.

Step1:

LCM(147, 834) = 40866

GCD(147, 834) = ( 147 x 834 ) / 40866

= 147 / 834

= 147


Step2:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3


Step3:

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

= 3 / 804

= 3


So, Greatest Common Divisor of 147, 834, 384, 804 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 147, 834, 384, 804

Given numbers are 147, 834, 384, 804
The greatest common divisor of numbers 147, 834, 384, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 834, 384, 804 is 3.

FAQs on GCD of 147, 834, 384, 804 Calculator

1. What is the GCD of 147, 834, 384, 804?

GCD of given numbers 147, 834, 384, 804 is 3


2. How to calculate the greatest common divisor of 147, 834, 384, 804?

We can find the highest common divisor of 147, 834, 384, 804 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 147, 834, 384, 804 i.e 3.


3. How can I use the GCD of 147, 834, 384, 804Calculator?

Out the numbers 147, 834, 384, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.