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GCD of 759, 336, 108, 461 Calculator

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


Online GCD Calculator is useful to find the GCD of 759, 336, 108, 461 quickly. Get the easiest ways to solve the greatest common divisor of 759, 336, 108, 461 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 759, 336, 108, 461 with Factoring?

Given Input numbers are 759, 336, 108, 461

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461


GCD of numbers is the greatest common divisor

So, the GCD (759, 336, 108, 461) = 1.

Find GCD of 759, 336, 108, 461 using Prime Factorization

Given numbers are 759, 336, 108, 461

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 461 are 461

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

Steps to Calculate GCD of 759, 336, 108, 461 using LCM Formula

Given numbers are 759, 336, 108, 461

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

Apply this formula for all numbers.

Step1:

LCM(759, 336) = 85008

GCD(759, 336) = ( 759 x 336 ) / 85008

= 759 / 336

= 759


Step2:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3


Step3:

LCM(3, 461) = 1383

GCD(3, 461) = ( 3 x 461 ) / 1383

= 3 / 461

= 3


So, Greatest Common Divisor of 759, 336, 108, 461 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 759, 336, 108, 461

Given numbers are 759, 336, 108, 461
The greatest common divisor of numbers 759, 336, 108, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 336, 108, 461 is 1.

FAQs on GCD of 759, 336, 108, 461 Calculator

1. What is the GCD of 759, 336, 108, 461?

GCD of given numbers 759, 336, 108, 461 is 1


2. How to calculate the greatest common divisor of 759, 336, 108, 461?

We can find the highest common divisor of 759, 336, 108, 461 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 759, 336, 108, 461 i.e 1.


3. How can I use the GCD of 759, 336, 108, 461Calculator?

Out the numbers 759, 336, 108, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.