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GCD of 150, 864, 984, 527 Calculator

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


Online GCD Calculator is useful to find the GCD of 150, 864, 984, 527 quickly. Get the easiest ways to solve the greatest common divisor of 150, 864, 984, 527 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 864, 984, 527 with Factoring?

Given Input numbers are 150, 864, 984, 527

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527


GCD of numbers is the greatest common divisor

So, the GCD (150, 864, 984, 527) = 1.

Find GCD of 150, 864, 984, 527 using Prime Factorization

Given numbers are 150, 864, 984, 527

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 527 are 17 x 31

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

Steps to Calculate GCD of 150, 864, 984, 527 using LCM Formula

Given numbers are 150, 864, 984, 527

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

Apply this formula for all numbers.

Step1:

LCM(150, 864) = 21600

GCD(150, 864) = ( 150 x 864 ) / 21600

= 150 / 864

= 150


Step2:

LCM(6, 984) = 984

GCD(6, 984) = ( 6 x 984 ) / 984

= 6 / 984

= 6


Step3:

LCM(6, 527) = 3162

GCD(6, 527) = ( 6 x 527 ) / 3162

= 6 / 527

= 6


So, Greatest Common Divisor of 150, 864, 984, 527 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 864, 984, 527

Given numbers are 150, 864, 984, 527
The greatest common divisor of numbers 150, 864, 984, 527 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 864, 984, 527 is 1.

FAQs on GCD of 150, 864, 984, 527 Calculator

1. What is the GCD of 150, 864, 984, 527?

GCD of given numbers 150, 864, 984, 527 is 1


2. How to calculate the greatest common divisor of 150, 864, 984, 527?

We can find the highest common divisor of 150, 864, 984, 527 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 150, 864, 984, 527 i.e 1.


3. How can I use the GCD of 150, 864, 984, 527Calculator?

Out the numbers 150, 864, 984, 527 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.