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GCD of 153, 276, 561, 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 153, 276, 561, 804 quickly. Get the easiest ways to solve the greatest common divisor of 153, 276, 561, 804 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 153, 276, 561, 804 with Factoring?

Given Input numbers are 153, 276, 561, 804

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

Divisors of 153 :

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

1, 3, 9, 17, 51, 153

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

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 (153, 276, 561, 804) = 3.

Find GCD of 153, 276, 561, 804 using Prime Factorization

Given numbers are 153, 276, 561, 804

The list of prime factors of all numbers are

Prime factors of 153 are 3 x 3 x 17

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 561 are 3 x 11 x 17

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

The highest common occurrence is 31

Therefore, GCD of 153, 276, 561, 804 is 3.

Steps to Calculate GCD of 153, 276, 561, 804 using LCM Formula

Given numbers are 153, 276, 561, 804

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

Apply this formula for all numbers.

Step1:

LCM(153, 276) = 14076

GCD(153, 276) = ( 153 x 276 ) / 14076

= 153 / 276

= 153


Step2:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3


Step3:

LCM(3, 804) = 804

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

= 3 / 804

= 3


So, Greatest Common Divisor of 153, 276, 561, 804 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 153, 276, 561, 804

Given numbers are 153, 276, 561, 804
The greatest common divisor of numbers 153, 276, 561, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 276, 561, 804 is 3.

FAQs on GCD of 153, 276, 561, 804 Calculator

1. What is the GCD of 153, 276, 561, 804?

GCD of given numbers 153, 276, 561, 804 is 3


2. How to calculate the greatest common divisor of 153, 276, 561, 804?

We can find the highest common divisor of 153, 276, 561, 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 153, 276, 561, 804 i.e 3.


3. How can I use the GCD of 153, 276, 561, 804Calculator?

Out the numbers 153, 276, 561, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.