LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 456, 672, 759 Calculator

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


Online GCD Calculator is useful to find the GCD of 456, 672, 759 quickly. Get the easiest ways to solve the greatest common divisor of 456, 672, 759 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 456, 672, 759 with Factoring?

Given Input numbers are 456, 672, 759

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 759 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (456, 672, 759) = 3.

Find GCD of 456, 672, 759 using Prime Factorization

Given numbers are 456, 672, 759

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

Prime factors of 759 are 3 x 11 x 23

The highest common occurrence is 31

Therefore, GCD of 456, 672, 759 is 3.

Steps to Calculate GCD of 456, 672, 759 using LCM Formula

Given numbers are 456, 672, 759

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

Apply this formula for all numbers.

Step1:

LCM(456, 672) = 12768

GCD(456, 672) = ( 456 x 672 ) / 12768

= 456 / 672

= 456


Step2:

LCM(24, 759) = 6072

GCD(24, 759) = ( 24 x 759 ) / 6072

= 24 / 759

= 24


So, Greatest Common Divisor of 456, 672, 759 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 456, 672, 759

Given numbers are 456, 672, 759
The greatest common divisor of numbers 456, 672, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 672, 759 is 3.

FAQs on GCD of 456, 672, 759 Calculator

1. What is the GCD of 456, 672, 759?

GCD of given numbers 456, 672, 759 is 3


2. How to calculate the greatest common divisor of 456, 672, 759?

We can find the highest common divisor of 456, 672, 759 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 456, 672, 759 i.e 3.


3. How can I use the GCD of 456, 672, 759Calculator?

Out the numbers 456, 672, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.