GCD of 728, 264, 142, 375 Calculator

Given Input numbers are 728, 264, 142, 375

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (728, 264, 142, 375) = 1.

Given numbers are 728, 264, 142, 375

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 142 are 2 x 71

Prime factors of 375 are 3 x 5 x 5 x 5

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

Given numbers are 728, 264, 142, 375

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

Apply this formula for all numbers.

Step1:

LCM(728, 264) = 24024

GCD(728, 264) = ( 728 x 264 ) / 24024

= 728 / 264

= 728

Step2:

LCM(8, 142) = 568

GCD(8, 142) = ( 8 x 142 ) / 568

= 8 / 142

= 8

Step3:

LCM(2, 375) = 750

GCD(2, 375) = ( 2 x 375 ) / 750

= 2 / 375

= 2

So, Greatest Common Divisor of 728, 264, 142, 375 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 175, 175, 508
• GCD of 354, 876, 813, 143
• GCD of 209, 184, 848, 483
• GCD of 150, 980, 847, 845
• GCD of 106, 369, 982, 118

Given numbers are 728, 264, 142, 375
The greatest common divisor of numbers 728, 264, 142, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 264, 142, 375 is 1.

1. What is the GCD of 728, 264, 142, 375?

GCD of given numbers 728, 264, 142, 375 is 1

2. How to calculate the greatest common divisor of 728, 264, 142, 375?

We can find the highest common divisor of 728, 264, 142, 375 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 728, 264, 142, 375 i.e 1.

3. How can I use the GCD of 728, 264, 142, 375Calculator?

Out the numbers 728, 264, 142, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.