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GCD of 550, 870, 984, 569 Calculator

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


Online GCD Calculator is useful to find the GCD of 550, 870, 984, 569 quickly. Get the easiest ways to solve the greatest common divisor of 550, 870, 984, 569 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 550, 870, 984, 569 with Factoring?

Given Input numbers are 550, 870, 984, 569

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

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 569 :

The positive integer divisors of 569 that completely divides 569 are.

1, 569


GCD of numbers is the greatest common divisor

So, the GCD (550, 870, 984, 569) = 1.

Find GCD of 550, 870, 984, 569 using Prime Factorization

Given numbers are 550, 870, 984, 569

The list of prime factors of all numbers are

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

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 569 are 569

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

Steps to Calculate GCD of 550, 870, 984, 569 using LCM Formula

Given numbers are 550, 870, 984, 569

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

Apply this formula for all numbers.

Step1:

LCM(550, 870) = 47850

GCD(550, 870) = ( 550 x 870 ) / 47850

= 550 / 870

= 550


Step2:

LCM(10, 984) = 4920

GCD(10, 984) = ( 10 x 984 ) / 4920

= 10 / 984

= 10


Step3:

LCM(2, 569) = 1138

GCD(2, 569) = ( 2 x 569 ) / 1138

= 2 / 569

= 2


So, Greatest Common Divisor of 550, 870, 984, 569 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 550, 870, 984, 569

Given numbers are 550, 870, 984, 569
The greatest common divisor of numbers 550, 870, 984, 569 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 870, 984, 569 is 1.

FAQs on GCD of 550, 870, 984, 569 Calculator

1. What is the GCD of 550, 870, 984, 569?

GCD of given numbers 550, 870, 984, 569 is 1


2. How to calculate the greatest common divisor of 550, 870, 984, 569?

We can find the highest common divisor of 550, 870, 984, 569 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 550, 870, 984, 569 i.e 1.


3. How can I use the GCD of 550, 870, 984, 569Calculator?

Out the numbers 550, 870, 984, 569 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.