GCD of 272, 348, 304, 820 Calculator

Given Input numbers are 272, 348, 304, 820

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (272, 348, 304, 820) = 4.

Given numbers are 272, 348, 304, 820

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2²

Therefore, GCD of 272, 348, 304, 820 is 4.

Given numbers are 272, 348, 304, 820

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

Apply this formula for all numbers.

Step1:

LCM(272, 348) = 23664

GCD(272, 348) = ( 272 x 348 ) / 23664

= 272 / 348

= 272

Step2:

LCM(4, 304) = 304

GCD(4, 304) = ( 4 x 304 ) / 304

= 4 / 304

= 4

Step3:

LCM(4, 820) = 820

GCD(4, 820) = ( 4 x 820 ) / 820

= 4 / 820

= 4

So, Greatest Common Divisor of 272, 348, 304, 820 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 452, 543, 965
• GCD of 761, 498, 344, 783
• GCD of 304, 264, 497, 222
• GCD of 709, 619, 927, 991
• GCD of 505, 246, 952, 396

Given numbers are 272, 348, 304, 820
The greatest common divisor of numbers 272, 348, 304, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 348, 304, 820 is 4.

1. What is the GCD of 272, 348, 304, 820?

GCD of given numbers 272, 348, 304, 820 is 4

2. How to calculate the greatest common divisor of 272, 348, 304, 820?

We can find the highest common divisor of 272, 348, 304, 820 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 272, 348, 304, 820 i.e 4.

3. How can I use the GCD of 272, 348, 304, 820Calculator?

Out the numbers 272, 348, 304, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.