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GCD of 150, 660, 217, 608 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, 660, 217, 608 quickly. Get the easiest ways to solve the greatest common divisor of 150, 660, 217, 608 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 660, 217, 608 with Factoring?

Given Input numbers are 150, 660, 217, 608

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608


GCD of numbers is the greatest common divisor

So, the GCD (150, 660, 217, 608) = 1.

Find GCD of 150, 660, 217, 608 using Prime Factorization

Given numbers are 150, 660, 217, 608

The list of prime factors of all numbers are

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

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 217 are 7 x 31

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

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

Steps to Calculate GCD of 150, 660, 217, 608 using LCM Formula

Given numbers are 150, 660, 217, 608

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

Apply this formula for all numbers.

Step1:

LCM(150, 660) = 3300

GCD(150, 660) = ( 150 x 660 ) / 3300

= 150 / 660

= 150


Step2:

LCM(30, 217) = 6510

GCD(30, 217) = ( 30 x 217 ) / 6510

= 30 / 217

= 30


Step3:

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

= 1 / 608

= 1


So, Greatest Common Divisor of 150, 660, 217, 608 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 660, 217, 608

Given numbers are 150, 660, 217, 608
The greatest common divisor of numbers 150, 660, 217, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 660, 217, 608 is 1.

FAQs on GCD of 150, 660, 217, 608 Calculator

1. What is the GCD of 150, 660, 217, 608?

GCD of given numbers 150, 660, 217, 608 is 1


2. How to calculate the greatest common divisor of 150, 660, 217, 608?

We can find the highest common divisor of 150, 660, 217, 608 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, 660, 217, 608 i.e 1.


3. How can I use the GCD of 150, 660, 217, 608Calculator?

Out the numbers 150, 660, 217, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.