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GCD of 954, 138, 603 Calculator

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


Online GCD Calculator is useful to find the GCD of 954, 138, 603 quickly. Get the easiest ways to solve the greatest common divisor of 954, 138, 603 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 954, 138, 603 with Factoring?

Given Input numbers are 954, 138, 603

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 603 :

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

1, 3, 9, 67, 201, 603


GCD of numbers is the greatest common divisor

So, the GCD (954, 138, 603) = 3.

Find GCD of 954, 138, 603 using Prime Factorization

Given numbers are 954, 138, 603

The list of prime factors of all numbers are

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 138 are 2 x 3 x 23

Prime factors of 603 are 3 x 3 x 67

The highest common occurrence is 31

Therefore, GCD of 954, 138, 603 is 3.

Steps to Calculate GCD of 954, 138, 603 using LCM Formula

Given numbers are 954, 138, 603

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

Apply this formula for all numbers.

Step1:

LCM(954, 138) = 21942

GCD(954, 138) = ( 954 x 138 ) / 21942

= 954 / 138

= 954


Step2:

LCM(6, 603) = 1206

GCD(6, 603) = ( 6 x 603 ) / 1206

= 6 / 603

= 6


So, Greatest Common Divisor of 954, 138, 603 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 954, 138, 603

Given numbers are 954, 138, 603
The greatest common divisor of numbers 954, 138, 603 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 138, 603 is 3.

FAQs on GCD of 954, 138, 603 Calculator

1. What is the GCD of 954, 138, 603?

GCD of given numbers 954, 138, 603 is 3


2. How to calculate the greatest common divisor of 954, 138, 603?

We can find the highest common divisor of 954, 138, 603 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 954, 138, 603 i.e 3.


3. How can I use the GCD of 954, 138, 603Calculator?

Out the numbers 954, 138, 603 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.