GCD of 536, 792, 738, 748 Calculator

Given Input numbers are 536, 792, 738, 748

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 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (536, 792, 738, 748) = 2.

Given numbers are 536, 792, 738, 748

The list of prime factors of all numbers are

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

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 536, 792, 738, 748 is 2.

Given numbers are 536, 792, 738, 748

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

Apply this formula for all numbers.

Step1:

LCM(536, 792) = 53064

GCD(536, 792) = ( 536 x 792 ) / 53064

= 536 / 792

= 536

Step2:

LCM(8, 738) = 2952

GCD(8, 738) = ( 8 x 738 ) / 2952

= 8 / 738

= 8

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 536, 792, 738, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 748, 963, 407, 711
• GCD of 568, 433, 330, 884
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• GCD of 778, 500, 773, 250
• GCD of 373, 498, 435, 937

Given numbers are 536, 792, 738, 748
The greatest common divisor of numbers 536, 792, 738, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 792, 738, 748 is 2.

1. What is the GCD of 536, 792, 738, 748?

GCD of given numbers 536, 792, 738, 748 is 2

2. How to calculate the greatest common divisor of 536, 792, 738, 748?

We can find the highest common divisor of 536, 792, 738, 748 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, 792, 738, 748 i.e 2.

3. How can I use the GCD of 536, 792, 738, 748Calculator?

Out the numbers 536, 792, 738, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.