GCD of 752, 189, 496, 744 Calculator

Given Input numbers are 752, 189, 496, 744

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

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (752, 189, 496, 744) = 1.

Given numbers are 752, 189, 496, 744

The list of prime factors of all numbers are

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

Prime factors of 189 are 3 x 3 x 3 x 7

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

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 752, 189, 496, 744

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

Apply this formula for all numbers.

Step1:

LCM(752, 189) = 142128

GCD(752, 189) = ( 752 x 189 ) / 142128

= 752 / 189

= 752

Step2:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

Step3:

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

= 1 / 744

= 1

So, Greatest Common Divisor of 752, 189, 496, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 832, 868, 526
• GCD of 878, 386, 807, 748
• GCD of 584, 599, 884, 877
• GCD of 485, 772, 945, 334
• GCD of 144, 330, 930, 194

Given numbers are 752, 189, 496, 744
The greatest common divisor of numbers 752, 189, 496, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 189, 496, 744 is 1.

1. What is the GCD of 752, 189, 496, 744?

GCD of given numbers 752, 189, 496, 744 is 1

2. How to calculate the greatest common divisor of 752, 189, 496, 744?

We can find the highest common divisor of 752, 189, 496, 744 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 752, 189, 496, 744 i.e 1.

3. How can I use the GCD of 752, 189, 496, 744Calculator?

Out the numbers 752, 189, 496, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.