GCD of 705, 165, 220, 480 Calculator

Given Input numbers are 705, 165, 220, 480

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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 (705, 165, 220, 480) = 5.

Given numbers are 705, 165, 220, 480

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 165 are 3 x 5 x 11

Prime factors of 220 are 2 x 2 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 705, 165, 220, 480 is 5.

Given numbers are 705, 165, 220, 480

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

Apply this formula for all numbers.

Step1:

LCM(705, 165) = 7755

GCD(705, 165) = ( 705 x 165 ) / 7755

= 705 / 165

= 705

Step2:

LCM(15, 220) = 660

GCD(15, 220) = ( 15 x 220 ) / 660

= 15 / 220

= 15

Step3:

LCM(5, 480) = 480

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

= 5 / 480

= 5

So, Greatest Common Divisor of 705, 165, 220, 480 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 193, 154, 518
• GCD of 271, 899, 213, 690
• GCD of 299, 867, 952, 226
• GCD of 215, 365, 744, 767
• GCD of 579, 463, 175, 881

Given numbers are 705, 165, 220, 480
The greatest common divisor of numbers 705, 165, 220, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 165, 220, 480 is 5.

1. What is the GCD of 705, 165, 220, 480?

GCD of given numbers 705, 165, 220, 480 is 5

2. How to calculate the greatest common divisor of 705, 165, 220, 480?

We can find the highest common divisor of 705, 165, 220, 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 705, 165, 220, 480 i.e 5.

3. How can I use the GCD of 705, 165, 220, 480Calculator?

Out the numbers 705, 165, 220, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.