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GCD of 480, 350, 150, 266 Calculator

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


Online GCD Calculator is useful to find the GCD of 480, 350, 150, 266 quickly. Get the easiest ways to solve the greatest common divisor of 480, 350, 150, 266 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 350, 150, 266 with Factoring?

Given Input numbers are 480, 350, 150, 266

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266


GCD of numbers is the greatest common divisor

So, the GCD (480, 350, 150, 266) = 2.

Find GCD of 480, 350, 150, 266 using Prime Factorization

Given numbers are 480, 350, 150, 266

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 350 are 2 x 5 x 5 x 7

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

Prime factors of 266 are 2 x 7 x 19

The highest common occurrence is 21

Therefore, GCD of 480, 350, 150, 266 is 2.

Steps to Calculate GCD of 480, 350, 150, 266 using LCM Formula

Given numbers are 480, 350, 150, 266

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

Apply this formula for all numbers.

Step1:

LCM(480, 350) = 16800

GCD(480, 350) = ( 480 x 350 ) / 16800

= 480 / 350

= 480


Step2:

LCM(10, 150) = 150

GCD(10, 150) = ( 10 x 150 ) / 150

= 10 / 150

= 10


Step3:

LCM(10, 266) = 1330

GCD(10, 266) = ( 10 x 266 ) / 1330

= 10 / 266

= 10


So, Greatest Common Divisor of 480, 350, 150, 266 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 350, 150, 266

Given numbers are 480, 350, 150, 266
The greatest common divisor of numbers 480, 350, 150, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 350, 150, 266 is 2.

FAQs on GCD of 480, 350, 150, 266 Calculator

1. What is the GCD of 480, 350, 150, 266?

GCD of given numbers 480, 350, 150, 266 is 2


2. How to calculate the greatest common divisor of 480, 350, 150, 266?

We can find the highest common divisor of 480, 350, 150, 266 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 480, 350, 150, 266 i.e 2.


3. How can I use the GCD of 480, 350, 150, 266Calculator?

Out the numbers 480, 350, 150, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.