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GCD of 240, 766, 213, 462 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, 766, 213, 462 quickly. Get the easiest ways to solve the greatest common divisor of 240, 766, 213, 462 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 766, 213, 462 with Factoring?

Given Input numbers are 240, 766, 213, 462

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 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462


GCD of numbers is the greatest common divisor

So, the GCD (240, 766, 213, 462) = 1.

Find GCD of 240, 766, 213, 462 using Prime Factorization

Given numbers are 240, 766, 213, 462

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 766 are 2 x 383

Prime factors of 213 are 3 x 71

Prime factors of 462 are 2 x 3 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 240, 766, 213, 462 using LCM Formula

Given numbers are 240, 766, 213, 462

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

Apply this formula for all numbers.

Step1:

LCM(240, 766) = 91920

GCD(240, 766) = ( 240 x 766 ) / 91920

= 240 / 766

= 240


Step2:

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

= 2 / 213

= 2


Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1


So, Greatest Common Divisor of 240, 766, 213, 462 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 766, 213, 462

Given numbers are 240, 766, 213, 462
The greatest common divisor of numbers 240, 766, 213, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 766, 213, 462 is 1.

FAQs on GCD of 240, 766, 213, 462 Calculator

1. What is the GCD of 240, 766, 213, 462?

GCD of given numbers 240, 766, 213, 462 is 1


2. How to calculate the greatest common divisor of 240, 766, 213, 462?

We can find the highest common divisor of 240, 766, 213, 462 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, 766, 213, 462 i.e 1.


3. How can I use the GCD of 240, 766, 213, 462Calculator?

Out the numbers 240, 766, 213, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.