GCD of 408, 262, 130, 728 Calculator

Given Input numbers are 408, 262, 130, 728

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

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 (408, 262, 130, 728) = 2.

Given numbers are 408, 262, 130, 728

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 262 are 2 x 131

Prime factors of 130 are 2 x 5 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 408, 262, 130, 728 is 2.

Given numbers are 408, 262, 130, 728

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

Apply this formula for all numbers.

Step1:

LCM(408, 262) = 53448

GCD(408, 262) = ( 408 x 262 ) / 53448

= 408 / 262

= 408

Step2:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

Step3:

LCM(2, 728) = 728

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

= 2 / 728

= 2

So, Greatest Common Divisor of 408, 262, 130, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 570, 270, 520, 537
• GCD of 778, 263, 113, 454
• GCD of 942, 889, 124, 868
• GCD of 369, 602, 645, 789
• GCD of 509, 192, 351, 432

Given numbers are 408, 262, 130, 728
The greatest common divisor of numbers 408, 262, 130, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 262, 130, 728 is 2.

1. What is the GCD of 408, 262, 130, 728?

GCD of given numbers 408, 262, 130, 728 is 2

2. How to calculate the greatest common divisor of 408, 262, 130, 728?

We can find the highest common divisor of 408, 262, 130, 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 408, 262, 130, 728 i.e 2.

3. How can I use the GCD of 408, 262, 130, 728Calculator?

Out the numbers 408, 262, 130, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.