GCD of 210, 820, 348, 728 Calculator

Given Input numbers are 210, 820, 348, 728

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (210, 820, 348, 728) = 2.

Given numbers are 210, 820, 348, 728

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

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

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

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 210, 820, 348, 728 is 2.

Given numbers are 210, 820, 348, 728

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

Apply this formula for all numbers.

Step1:

LCM(210, 820) = 17220

GCD(210, 820) = ( 210 x 820 ) / 17220

= 210 / 820

= 210

Step2:

LCM(10, 348) = 1740

GCD(10, 348) = ( 10 x 348 ) / 1740

= 10 / 348

= 10

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 210, 820, 348, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 254, 301, 157
• GCD of 104, 969, 137, 742
• GCD of 948, 545, 635, 773
• GCD of 835, 659, 915, 596
• GCD of 918, 355, 521, 120

Given numbers are 210, 820, 348, 728
The greatest common divisor of numbers 210, 820, 348, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 820, 348, 728 is 2.

1. What is the GCD of 210, 820, 348, 728?

GCD of given numbers 210, 820, 348, 728 is 2

2. How to calculate the greatest common divisor of 210, 820, 348, 728?

We can find the highest common divisor of 210, 820, 348, 728 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 210, 820, 348, 728 i.e 2.

3. How can I use the GCD of 210, 820, 348, 728Calculator?

Out the numbers 210, 820, 348, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.