GCD of 220, 870, 960, 480 Calculator

Given Input numbers are 220, 870, 960, 480

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

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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 (220, 870, 960, 480) = 10.

Given numbers are 220, 870, 960, 480

The list of prime factors of all numbers are

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 220, 870, 960, 480 is 10.

Given numbers are 220, 870, 960, 480

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

Apply this formula for all numbers.

Step1:

LCM(220, 870) = 19140

GCD(220, 870) = ( 220 x 870 ) / 19140

= 220 / 870

= 220

Step2:

LCM(10, 960) = 960

GCD(10, 960) = ( 10 x 960 ) / 960

= 10 / 960

= 10

Step3:

LCM(10, 480) = 480

GCD(10, 480) = ( 10 x 480 ) / 480

= 10 / 480

= 10

So, Greatest Common Divisor of 220, 870, 960, 480 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 713, 634, 756
• GCD of 451, 713, 448, 989
• GCD of 901, 808, 486, 550
• GCD of 938, 210, 757, 859
• GCD of 538, 685, 572, 363

Given numbers are 220, 870, 960, 480
The greatest common divisor of numbers 220, 870, 960, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 870, 960, 480 is 10.

1. What is the GCD of 220, 870, 960, 480?

GCD of given numbers 220, 870, 960, 480 is 10

2. How to calculate the greatest common divisor of 220, 870, 960, 480?

We can find the highest common divisor of 220, 870, 960, 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 220, 870, 960, 480 i.e 10.

3. How can I use the GCD of 220, 870, 960, 480Calculator?

Out the numbers 220, 870, 960, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.