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GCD of 147, 903, 603, 564 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, 903, 603, 564 quickly. Get the easiest ways to solve the greatest common divisor of 147, 903, 603, 564 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 147, 903, 603, 564 with Factoring?

Given Input numbers are 147, 903, 603, 564

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 903 :

The positive integer divisors of 903 that completely divides 903 are.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 603 :

The positive integer divisors of 603 that completely divides 603 are.

1, 3, 9, 67, 201, 603

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564


GCD of numbers is the greatest common divisor

So, the GCD (147, 903, 603, 564) = 3.

Find GCD of 147, 903, 603, 564 using Prime Factorization

Given numbers are 147, 903, 603, 564

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 903 are 3 x 7 x 43

Prime factors of 603 are 3 x 3 x 67

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 31

Therefore, GCD of 147, 903, 603, 564 is 3.

Steps to Calculate GCD of 147, 903, 603, 564 using LCM Formula

Given numbers are 147, 903, 603, 564

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

Apply this formula for all numbers.

Step1:

LCM(147, 903) = 6321

GCD(147, 903) = ( 147 x 903 ) / 6321

= 147 / 903

= 147


Step2:

LCM(21, 603) = 4221

GCD(21, 603) = ( 21 x 603 ) / 4221

= 21 / 603

= 21


Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3


So, Greatest Common Divisor of 147, 903, 603, 564 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 147, 903, 603, 564

Given numbers are 147, 903, 603, 564
The greatest common divisor of numbers 147, 903, 603, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 903, 603, 564 is 3.

FAQs on GCD of 147, 903, 603, 564 Calculator

1. What is the GCD of 147, 903, 603, 564?

GCD of given numbers 147, 903, 603, 564 is 3


2. How to calculate the greatest common divisor of 147, 903, 603, 564?

We can find the highest common divisor of 147, 903, 603, 564 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, 903, 603, 564 i.e 3.


3. How can I use the GCD of 147, 903, 603, 564Calculator?

Out the numbers 147, 903, 603, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.