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GCD of 240, 237, 441, 672 Calculator

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


Online GCD Calculator is useful to find the GCD of 240, 237, 441, 672 quickly. Get the easiest ways to solve the greatest common divisor of 240, 237, 441, 672 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 237, 441, 672 with Factoring?

Given Input numbers are 240, 237, 441, 672

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

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


GCD of numbers is the greatest common divisor

So, the GCD (240, 237, 441, 672) = 3.

Find GCD of 240, 237, 441, 672 using Prime Factorization

Given numbers are 240, 237, 441, 672

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 237 are 3 x 79

Prime factors of 441 are 3 x 3 x 7 x 7

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

The highest common occurrence is 31

Therefore, GCD of 240, 237, 441, 672 is 3.

Steps to Calculate GCD of 240, 237, 441, 672 using LCM Formula

Given numbers are 240, 237, 441, 672

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

Apply this formula for all numbers.

Step1:

LCM(240, 237) = 18960

GCD(240, 237) = ( 240 x 237 ) / 18960

= 240 / 237

= 240


Step2:

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

= 3 / 441

= 3


Step3:

LCM(3, 672) = 672

GCD(3, 672) = ( 3 x 672 ) / 672

= 3 / 672

= 3


So, Greatest Common Divisor of 240, 237, 441, 672 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 237, 441, 672

Given numbers are 240, 237, 441, 672
The greatest common divisor of numbers 240, 237, 441, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 237, 441, 672 is 3.

FAQs on GCD of 240, 237, 441, 672 Calculator

1. What is the GCD of 240, 237, 441, 672?

GCD of given numbers 240, 237, 441, 672 is 3


2. How to calculate the greatest common divisor of 240, 237, 441, 672?

We can find the highest common divisor of 240, 237, 441, 672 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 240, 237, 441, 672 i.e 3.


3. How can I use the GCD of 240, 237, 441, 672Calculator?

Out the numbers 240, 237, 441, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.