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GCD of 264, 750, 550, 882 Calculator

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


Online GCD Calculator is useful to find the GCD of 264, 750, 550, 882 quickly. Get the easiest ways to solve the greatest common divisor of 264, 750, 550, 882 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 264, 750, 550, 882 with Factoring?

Given Input numbers are 264, 750, 550, 882

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

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

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882


GCD of numbers is the greatest common divisor

So, the GCD (264, 750, 550, 882) = 2.

Find GCD of 264, 750, 550, 882 using Prime Factorization

Given numbers are 264, 750, 550, 882

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 264, 750, 550, 882 is 2.

Steps to Calculate GCD of 264, 750, 550, 882 using LCM Formula

Given numbers are 264, 750, 550, 882

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

Apply this formula for all numbers.

Step1:

LCM(264, 750) = 33000

GCD(264, 750) = ( 264 x 750 ) / 33000

= 264 / 750

= 264


Step2:

LCM(6, 550) = 1650

GCD(6, 550) = ( 6 x 550 ) / 1650

= 6 / 550

= 6


Step3:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2


So, Greatest Common Divisor of 264, 750, 550, 882 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 264, 750, 550, 882

Given numbers are 264, 750, 550, 882
The greatest common divisor of numbers 264, 750, 550, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 750, 550, 882 is 2.

FAQs on GCD of 264, 750, 550, 882 Calculator

1. What is the GCD of 264, 750, 550, 882?

GCD of given numbers 264, 750, 550, 882 is 2


2. How to calculate the greatest common divisor of 264, 750, 550, 882?

We can find the highest common divisor of 264, 750, 550, 882 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 264, 750, 550, 882 i.e 2.


3. How can I use the GCD of 264, 750, 550, 882Calculator?

Out the numbers 264, 750, 550, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.