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GCD of 825, 550, 766, 879 Calculator

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


Online GCD Calculator is useful to find the GCD of 825, 550, 766, 879 quickly. Get the easiest ways to solve the greatest common divisor of 825, 550, 766, 879 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 550, 766, 879 with Factoring?

Given Input numbers are 825, 550, 766, 879

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879


GCD of numbers is the greatest common divisor

So, the GCD (825, 550, 766, 879) = 1.

Find GCD of 825, 550, 766, 879 using Prime Factorization

Given numbers are 825, 550, 766, 879

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

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

Prime factors of 766 are 2 x 383

Prime factors of 879 are 3 x 293

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 825, 550, 766, 879 using LCM Formula

Given numbers are 825, 550, 766, 879

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

Apply this formula for all numbers.

Step1:

LCM(825, 550) = 1650

GCD(825, 550) = ( 825 x 550 ) / 1650

= 825 / 550

= 825


Step2:

LCM(275, 766) = 210650

GCD(275, 766) = ( 275 x 766 ) / 210650

= 275 / 766

= 275


Step3:

LCM(1, 879) = 879

GCD(1, 879) = ( 1 x 879 ) / 879

= 1 / 879

= 1


So, Greatest Common Divisor of 825, 550, 766, 879 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 550, 766, 879

Given numbers are 825, 550, 766, 879
The greatest common divisor of numbers 825, 550, 766, 879 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 550, 766, 879 is 1.

FAQs on GCD of 825, 550, 766, 879 Calculator

1. What is the GCD of 825, 550, 766, 879?

GCD of given numbers 825, 550, 766, 879 is 1


2. How to calculate the greatest common divisor of 825, 550, 766, 879?

We can find the highest common divisor of 825, 550, 766, 879 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 825, 550, 766, 879 i.e 1.


3. How can I use the GCD of 825, 550, 766, 879Calculator?

Out the numbers 825, 550, 766, 879 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.