GCD of 150, 765, 550, 480 Calculator

Given Input numbers are 150, 765, 550, 480

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 765 :

The positive integer divisors of 765 that completely divides 765 are.

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

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

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

GCD of numbers is the greatest common divisor

So, the GCD (150, 765, 550, 480) = 5.

Given numbers are 150, 765, 550, 480

The list of prime factors of all numbers are

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

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 550 are 2 x 5 x 5 x 11

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

The highest common occurrence is 5¹

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

Given numbers are 150, 765, 550, 480

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

Apply this formula for all numbers.

Step1:

LCM(150, 765) = 7650

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

= 150 / 765

= 150

Step2:

LCM(15, 550) = 1650

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

= 15 / 550

= 15

Step3:

LCM(5, 480) = 480

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

= 5 / 480

= 5

So, Greatest Common Divisor of 150, 765, 550, 480 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 995, 597, 320
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Given numbers are 150, 765, 550, 480
The greatest common divisor of numbers 150, 765, 550, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 765, 550, 480 is 5.

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

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

2. How to calculate the greatest common divisor of 150, 765, 550, 480?

We can find the highest common divisor of 150, 765, 550, 480 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, 765, 550, 480 i.e 5.

3. How can I use the GCD of 150, 765, 550, 480Calculator?

Out the numbers 150, 765, 550, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.