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GCD of 240, 753, 747, 246 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, 753, 747, 246 quickly. Get the easiest ways to solve the greatest common divisor of 240, 753, 747, 246 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 753, 747, 246 with Factoring?

Given Input numbers are 240, 753, 747, 246

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 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246


GCD of numbers is the greatest common divisor

So, the GCD (240, 753, 747, 246) = 3.

Find GCD of 240, 753, 747, 246 using Prime Factorization

Given numbers are 240, 753, 747, 246

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 753 are 3 x 251

Prime factors of 747 are 3 x 3 x 83

Prime factors of 246 are 2 x 3 x 41

The highest common occurrence is 31

Therefore, GCD of 240, 753, 747, 246 is 3.

Steps to Calculate GCD of 240, 753, 747, 246 using LCM Formula

Given numbers are 240, 753, 747, 246

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

Apply this formula for all numbers.

Step1:

LCM(240, 753) = 60240

GCD(240, 753) = ( 240 x 753 ) / 60240

= 240 / 753

= 240


Step2:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3


Step3:

LCM(3, 246) = 246

GCD(3, 246) = ( 3 x 246 ) / 246

= 3 / 246

= 3


So, Greatest Common Divisor of 240, 753, 747, 246 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 753, 747, 246

Given numbers are 240, 753, 747, 246
The greatest common divisor of numbers 240, 753, 747, 246 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 753, 747, 246 is 3.

FAQs on GCD of 240, 753, 747, 246 Calculator

1. What is the GCD of 240, 753, 747, 246?

GCD of given numbers 240, 753, 747, 246 is 3


2. How to calculate the greatest common divisor of 240, 753, 747, 246?

We can find the highest common divisor of 240, 753, 747, 246 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, 753, 747, 246 i.e 3.


3. How can I use the GCD of 240, 753, 747, 246Calculator?

Out the numbers 240, 753, 747, 246 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.