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GCD of 440, 746, 468, 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 440, 746, 468, 672 quickly. Get the easiest ways to solve the greatest common divisor of 440, 746, 468, 672 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 440, 746, 468, 672 with Factoring?

Given Input numbers are 440, 746, 468, 672

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 (440, 746, 468, 672) = 2.

Find GCD of 440, 746, 468, 672 using Prime Factorization

Given numbers are 440, 746, 468, 672

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 746 are 2 x 373

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

The highest common occurrence is 21

Therefore, GCD of 440, 746, 468, 672 is 2.

Steps to Calculate GCD of 440, 746, 468, 672 using LCM Formula

Given numbers are 440, 746, 468, 672

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

Apply this formula for all numbers.

Step1:

LCM(440, 746) = 164120

GCD(440, 746) = ( 440 x 746 ) / 164120

= 440 / 746

= 440


Step2:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2


Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2


So, Greatest Common Divisor of 440, 746, 468, 672 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 440, 746, 468, 672

Given numbers are 440, 746, 468, 672
The greatest common divisor of numbers 440, 746, 468, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 746, 468, 672 is 2.

FAQs on GCD of 440, 746, 468, 672 Calculator

1. What is the GCD of 440, 746, 468, 672?

GCD of given numbers 440, 746, 468, 672 is 2


2. How to calculate the greatest common divisor of 440, 746, 468, 672?

We can find the highest common divisor of 440, 746, 468, 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 440, 746, 468, 672 i.e 2.


3. How can I use the GCD of 440, 746, 468, 672Calculator?

Out the numbers 440, 746, 468, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.