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GCD of 628, 480, 648, 110 Calculator

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


Online GCD Calculator is useful to find the GCD of 628, 480, 648, 110 quickly. Get the easiest ways to solve the greatest common divisor of 628, 480, 648, 110 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 628, 480, 648, 110 with Factoring?

Given Input numbers are 628, 480, 648, 110

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110


GCD of numbers is the greatest common divisor

So, the GCD (628, 480, 648, 110) = 2.

Find GCD of 628, 480, 648, 110 using Prime Factorization

Given numbers are 628, 480, 648, 110

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 110 are 2 x 5 x 11

The highest common occurrence is 21

Therefore, GCD of 628, 480, 648, 110 is 2.

Steps to Calculate GCD of 628, 480, 648, 110 using LCM Formula

Given numbers are 628, 480, 648, 110

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

Apply this formula for all numbers.

Step1:

LCM(628, 480) = 75360

GCD(628, 480) = ( 628 x 480 ) / 75360

= 628 / 480

= 628


Step2:

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

= 4 / 648

= 4


Step3:

LCM(4, 110) = 220

GCD(4, 110) = ( 4 x 110 ) / 220

= 4 / 110

= 4


So, Greatest Common Divisor of 628, 480, 648, 110 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 628, 480, 648, 110

Given numbers are 628, 480, 648, 110
The greatest common divisor of numbers 628, 480, 648, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 480, 648, 110 is 2.

FAQs on GCD of 628, 480, 648, 110 Calculator

1. What is the GCD of 628, 480, 648, 110?

GCD of given numbers 628, 480, 648, 110 is 2


2. How to calculate the greatest common divisor of 628, 480, 648, 110?

We can find the highest common divisor of 628, 480, 648, 110 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 628, 480, 648, 110 i.e 2.


3. How can I use the GCD of 628, 480, 648, 110Calculator?

Out the numbers 628, 480, 648, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.