GCD of 536, 752, 704, 796 Calculator

Given Input numbers are 536, 752, 704, 796

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

GCD of numbers is the greatest common divisor

So, the GCD (536, 752, 704, 796) = 4.

Given numbers are 536, 752, 704, 796

The list of prime factors of all numbers are

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 796 are 2 x 2 x 199

The highest common occurrence is 2²

Therefore, GCD of 536, 752, 704, 796 is 4.

Given numbers are 536, 752, 704, 796

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

Apply this formula for all numbers.

Step1:

LCM(536, 752) = 50384

GCD(536, 752) = ( 536 x 752 ) / 50384

= 536 / 752

= 536

Step2:

LCM(8, 704) = 704

GCD(8, 704) = ( 8 x 704 ) / 704

= 8 / 704

= 8

Step3:

LCM(8, 796) = 1592

GCD(8, 796) = ( 8 x 796 ) / 1592

= 8 / 796

= 8

So, Greatest Common Divisor of 536, 752, 704, 796 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 818, 515, 135
• GCD of 290, 639, 734, 481
• GCD of 601, 640, 456, 950
• GCD of 358, 167, 904, 604
• GCD of 388, 383, 894, 378

Given numbers are 536, 752, 704, 796
The greatest common divisor of numbers 536, 752, 704, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 752, 704, 796 is 4.

1. What is the GCD of 536, 752, 704, 796?

GCD of given numbers 536, 752, 704, 796 is 4

2. How to calculate the greatest common divisor of 536, 752, 704, 796?

We can find the highest common divisor of 536, 752, 704, 796 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 536, 752, 704, 796 i.e 4.

3. How can I use the GCD of 536, 752, 704, 796Calculator?

Out the numbers 536, 752, 704, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.