GCD of 738, 430, 144, 276 Calculator

Given Input numbers are 738, 430, 144, 276

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

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 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

GCD of numbers is the greatest common divisor

So, the GCD (738, 430, 144, 276) = 2.

Given numbers are 738, 430, 144, 276

The list of prime factors of all numbers are

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

Prime factors of 430 are 2 x 5 x 43

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 276 are 2 x 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 738, 430, 144, 276 is 2.

Given numbers are 738, 430, 144, 276

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

Apply this formula for all numbers.

Step1:

LCM(738, 430) = 158670

GCD(738, 430) = ( 738 x 430 ) / 158670

= 738 / 430

= 738

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

= 2 / 276

= 2

So, Greatest Common Divisor of 738, 430, 144, 276 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 683, 784, 924
• GCD of 444, 917, 751, 217
• GCD of 395, 738, 489, 548
• GCD of 508, 876, 905, 343
• GCD of 847, 330, 105, 911

Given numbers are 738, 430, 144, 276
The greatest common divisor of numbers 738, 430, 144, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 430, 144, 276 is 2.

1. What is the GCD of 738, 430, 144, 276?

GCD of given numbers 738, 430, 144, 276 is 2

2. How to calculate the greatest common divisor of 738, 430, 144, 276?

We can find the highest common divisor of 738, 430, 144, 276 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 738, 430, 144, 276 i.e 2.

3. How can I use the GCD of 738, 430, 144, 276Calculator?

Out the numbers 738, 430, 144, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.