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GCD of 672, 183, 141, 984 Calculator

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


Online GCD Calculator is useful to find the GCD of 672, 183, 141, 984 quickly. Get the easiest ways to solve the greatest common divisor of 672, 183, 141, 984 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 183, 141, 984 with Factoring?

Given Input numbers are 672, 183, 141, 984

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984


GCD of numbers is the greatest common divisor

So, the GCD (672, 183, 141, 984) = 3.

Find GCD of 672, 183, 141, 984 using Prime Factorization

Given numbers are 672, 183, 141, 984

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 183 are 3 x 61

Prime factors of 141 are 3 x 47

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 31

Therefore, GCD of 672, 183, 141, 984 is 3.

Steps to Calculate GCD of 672, 183, 141, 984 using LCM Formula

Given numbers are 672, 183, 141, 984

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

Apply this formula for all numbers.

Step1:

LCM(672, 183) = 40992

GCD(672, 183) = ( 672 x 183 ) / 40992

= 672 / 183

= 672


Step2:

LCM(3, 141) = 141

GCD(3, 141) = ( 3 x 141 ) / 141

= 3 / 141

= 3


Step3:

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

= 3 / 984

= 3


So, Greatest Common Divisor of 672, 183, 141, 984 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 183, 141, 984

Given numbers are 672, 183, 141, 984
The greatest common divisor of numbers 672, 183, 141, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 183, 141, 984 is 3.

FAQs on GCD of 672, 183, 141, 984 Calculator

1. What is the GCD of 672, 183, 141, 984?

GCD of given numbers 672, 183, 141, 984 is 3


2. How to calculate the greatest common divisor of 672, 183, 141, 984?

We can find the highest common divisor of 672, 183, 141, 984 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 672, 183, 141, 984 i.e 3.


3. How can I use the GCD of 672, 183, 141, 984Calculator?

Out the numbers 672, 183, 141, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.