GCD of 736, 496, 14, 828 Calculator

Given Input numbers are 736, 496, 14, 828

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (736, 496, 14, 828) = 2.

Given numbers are 736, 496, 14, 828

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 14 are 2 x 7

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 736, 496, 14, 828 is 2.

Given numbers are 736, 496, 14, 828

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

Apply this formula for all numbers.

Step1:

LCM(736, 496) = 22816

GCD(736, 496) = ( 736 x 496 ) / 22816

= 736 / 496

= 736

Step2:

LCM(16, 14) = 112

GCD(16, 14) = ( 16 x 14 ) / 112

= 16 / 14

= 16

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 736, 496, 14, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 647, 57, 510
• GCD of 894, 899, 35, 745
• GCD of 879, 395, 85, 211
• GCD of 525, 313, 54, 116
• GCD of 191, 404, 30, 967

Given numbers are 736, 496, 14, 828
The greatest common divisor of numbers 736, 496, 14, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 496, 14, 828 is 2.

1. What is the GCD of 736, 496, 14, 828?

GCD of given numbers 736, 496, 14, 828 is 2

2. How to calculate the greatest common divisor of 736, 496, 14, 828?

We can find the highest common divisor of 736, 496, 14, 828 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 736, 496, 14, 828 i.e 2.

3. How can I use the GCD of 736, 496, 14, 828Calculator?

Out the numbers 736, 496, 14, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.