GCD of 150, 765, 550, 480 Calculator

Given Input numbers are 150, 765, 550, 480

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Greatest Common Divisior

We found the divisors of 150, 765, 550, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 765, 550, 480 is 5.

Therefore, GCD of numbers 150, 765, 550, 480 is 5

Given Input Data is 150, 765, 550, 480

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

Step1:

Let's calculate the GCD of first two numbers

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

LCM(150, 765) = 7650

GCD(150, 765) = ( 150 x 765 ) / 7650

GCD(150, 765) = 114750 / 7650

GCD(150, 765) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 550

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

LCM(15, 550) = 1650

GCD(15, 550) = ( 15 x 550 ) / 1650

GCD(15, 550) = 8250 / 1650

GCD(15, 550) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 480

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

LCM(5, 480) = 480

GCD(5, 480) = ( 5 x 480 ) / 480

GCD(5, 480) = 2400 / 480

GCD(5, 480) = 5

GCD of 150, 765, 550, 480 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 533, 185, 134
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• GCD of 738, 105, 553, 677

1. What is the GCD of 150, 765, 550, 480?

GCD of 150, 765, 550, 480 is 5

2. Where do I get the detailed procedure to find GCD of 150, 765, 550, 480?

You can find a detailed procedure to find GCD of 150, 765, 550, 480 on our page.

3. How to find GCD of 150, 765, 550, 480 on a calculator?

You can find the GCD of 150, 765, 550, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.