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GCD of 150, 830, 545 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, 830, 545 quickly. Get the easiest ways to solve the greatest common divisor of 150, 830, 545 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 830, 545 with Factoring?

Given Input numbers are 150, 830, 545

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 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545


GCD of numbers is the greatest common divisor

So, the GCD (150, 830, 545) = 5.

Find GCD of 150, 830, 545 using Prime Factorization

Given numbers are 150, 830, 545

The list of prime factors of all numbers are

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

Prime factors of 830 are 2 x 5 x 83

Prime factors of 545 are 5 x 109

The highest common occurrence is 51

Therefore, GCD of 150, 830, 545 is 5.

Steps to Calculate GCD of 150, 830, 545 using LCM Formula

Given numbers are 150, 830, 545

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

Apply this formula for all numbers.

Step1:

LCM(150, 830) = 12450

GCD(150, 830) = ( 150 x 830 ) / 12450

= 150 / 830

= 150


Step2:

LCM(10, 545) = 1090

GCD(10, 545) = ( 10 x 545 ) / 1090

= 10 / 545

= 10


So, Greatest Common Divisor of 150, 830, 545 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 830, 545

Given numbers are 150, 830, 545
The greatest common divisor of numbers 150, 830, 545 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 830, 545 is 5.

FAQs on GCD of 150, 830, 545 Calculator

1. What is the GCD of 150, 830, 545?

GCD of given numbers 150, 830, 545 is 5


2. How to calculate the greatest common divisor of 150, 830, 545?

We can find the highest common divisor of 150, 830, 545 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, 830, 545 i.e 5.


3. How can I use the GCD of 150, 830, 545Calculator?

Out the numbers 150, 830, 545 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.