GCD of 732, 688, 74, 756 Calculator

Given Input numbers are 732, 688, 74, 756

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (732, 688, 74, 756) = 2.

Given numbers are 732, 688, 74, 756

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 74 are 2 x 37

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 732, 688, 74, 756 is 2.

Given numbers are 732, 688, 74, 756

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

Apply this formula for all numbers.

Step1:

LCM(732, 688) = 125904

GCD(732, 688) = ( 732 x 688 ) / 125904

= 732 / 688

= 732

Step2:

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

= 4 / 74

= 4

Step3:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

So, Greatest Common Divisor of 732, 688, 74, 756 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 701, 29, 395
• GCD of 127, 171, 37, 269
• GCD of 613, 416, 82, 433
• GCD of 816, 752, 23, 247
• GCD of 720, 576, 56, 807

Given numbers are 732, 688, 74, 756
The greatest common divisor of numbers 732, 688, 74, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 688, 74, 756 is 2.

1. What is the GCD of 732, 688, 74, 756?

GCD of given numbers 732, 688, 74, 756 is 2

2. How to calculate the greatest common divisor of 732, 688, 74, 756?

We can find the highest common divisor of 732, 688, 74, 756 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 732, 688, 74, 756 i.e 2.

3. How can I use the GCD of 732, 688, 74, 756Calculator?

Out the numbers 732, 688, 74, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.