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GCD of 464, 528, 880, 638 Calculator

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


Online GCD Calculator is useful to find the GCD of 464, 528, 880, 638 quickly. Get the easiest ways to solve the greatest common divisor of 464, 528, 880, 638 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 464, 528, 880, 638 with Factoring?

Given Input numbers are 464, 528, 880, 638

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638


GCD of numbers is the greatest common divisor

So, the GCD (464, 528, 880, 638) = 2.

Find GCD of 464, 528, 880, 638 using Prime Factorization

Given numbers are 464, 528, 880, 638

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 21

Therefore, GCD of 464, 528, 880, 638 is 2.

Steps to Calculate GCD of 464, 528, 880, 638 using LCM Formula

Given numbers are 464, 528, 880, 638

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

Apply this formula for all numbers.

Step1:

LCM(464, 528) = 15312

GCD(464, 528) = ( 464 x 528 ) / 15312

= 464 / 528

= 464


Step2:

LCM(16, 880) = 880

GCD(16, 880) = ( 16 x 880 ) / 880

= 16 / 880

= 16


Step3:

LCM(16, 638) = 5104

GCD(16, 638) = ( 16 x 638 ) / 5104

= 16 / 638

= 16


So, Greatest Common Divisor of 464, 528, 880, 638 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 464, 528, 880, 638

Given numbers are 464, 528, 880, 638
The greatest common divisor of numbers 464, 528, 880, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 528, 880, 638 is 2.

FAQs on GCD of 464, 528, 880, 638 Calculator

1. What is the GCD of 464, 528, 880, 638?

GCD of given numbers 464, 528, 880, 638 is 2


2. How to calculate the greatest common divisor of 464, 528, 880, 638?

We can find the highest common divisor of 464, 528, 880, 638 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 464, 528, 880, 638 i.e 2.


3. How can I use the GCD of 464, 528, 880, 638Calculator?

Out the numbers 464, 528, 880, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.