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GCD of 198, 533, 706, 150 Calculator

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


Online GCD Calculator is useful to find the GCD of 198, 533, 706, 150 quickly. Get the easiest ways to solve the greatest common divisor of 198, 533, 706, 150 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 198, 533, 706, 150 with Factoring?

Given Input numbers are 198, 533, 706, 150

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

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


GCD of numbers is the greatest common divisor

So, the GCD (198, 533, 706, 150) = 1.

Find GCD of 198, 533, 706, 150 using Prime Factorization

Given numbers are 198, 533, 706, 150

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 533 are 13 x 41

Prime factors of 706 are 2 x 353

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

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

Steps to Calculate GCD of 198, 533, 706, 150 using LCM Formula

Given numbers are 198, 533, 706, 150

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

Apply this formula for all numbers.

Step1:

LCM(198, 533) = 105534

GCD(198, 533) = ( 198 x 533 ) / 105534

= 198 / 533

= 198


Step2:

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

= 1 / 706

= 1


Step3:

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

= 1 / 150

= 1


So, Greatest Common Divisor of 198, 533, 706, 150 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 198, 533, 706, 150

Given numbers are 198, 533, 706, 150
The greatest common divisor of numbers 198, 533, 706, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 533, 706, 150 is 1.

FAQs on GCD of 198, 533, 706, 150 Calculator

1. What is the GCD of 198, 533, 706, 150?

GCD of given numbers 198, 533, 706, 150 is 1


2. How to calculate the greatest common divisor of 198, 533, 706, 150?

We can find the highest common divisor of 198, 533, 706, 150 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 198, 533, 706, 150 i.e 1.


3. How can I use the GCD of 198, 533, 706, 150Calculator?

Out the numbers 198, 533, 706, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.