GCD of 276, 480, 220, 578 Calculator

Given Input numbers are 276, 480, 220, 578

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 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 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

GCD of numbers is the greatest common divisor

So, the GCD (276, 480, 220, 578) = 2.

Given numbers are 276, 480, 220, 578

The list of prime factors of all numbers are

Prime factors of 276 are 2 x 2 x 3 x 23

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

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

Prime factors of 578 are 2 x 17 x 17

The highest common occurrence is 2¹

Therefore, GCD of 276, 480, 220, 578 is 2.

Given numbers are 276, 480, 220, 578

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

Apply this formula for all numbers.

Step1:

LCM(276, 480) = 11040

GCD(276, 480) = ( 276 x 480 ) / 11040

= 276 / 480

= 276

Step2:

LCM(12, 220) = 660

GCD(12, 220) = ( 12 x 220 ) / 660

= 12 / 220

= 12

Step3:

LCM(4, 578) = 1156

GCD(4, 578) = ( 4 x 578 ) / 1156

= 4 / 578

= 4

So, Greatest Common Divisor of 276, 480, 220, 578 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 748, 930, 485
• GCD of 257, 816, 739, 244
• GCD of 355, 897, 820, 719
• GCD of 362, 148, 218, 893
• GCD of 794, 590, 960, 927

Given numbers are 276, 480, 220, 578
The greatest common divisor of numbers 276, 480, 220, 578 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 480, 220, 578 is 2.

1. What is the GCD of 276, 480, 220, 578?

GCD of given numbers 276, 480, 220, 578 is 2

2. How to calculate the greatest common divisor of 276, 480, 220, 578?

We can find the highest common divisor of 276, 480, 220, 578 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 276, 480, 220, 578 i.e 2.

3. How can I use the GCD of 276, 480, 220, 578Calculator?

Out the numbers 276, 480, 220, 578 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.