GCD of 744, 140, 311, 576 Calculator

Given Input numbers are 744, 140, 311, 576

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

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (744, 140, 311, 576) = 1.

Given numbers are 744, 140, 311, 576

The list of prime factors of all numbers are

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

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 311 are 311

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 744, 140, 311, 576

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

Apply this formula for all numbers.

Step1:

LCM(744, 140) = 26040

GCD(744, 140) = ( 744 x 140 ) / 26040

= 744 / 140

= 744

Step2:

LCM(4, 311) = 1244

GCD(4, 311) = ( 4 x 311 ) / 1244

= 4 / 311

= 4

Step3:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

So, Greatest Common Divisor of 744, 140, 311, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 505, 476, 222
• GCD of 628, 546, 744, 572
• GCD of 124, 219, 928, 311
• GCD of 216, 561, 939, 141
• GCD of 665, 970, 382, 791

Given numbers are 744, 140, 311, 576
The greatest common divisor of numbers 744, 140, 311, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 140, 311, 576 is 1.

1. What is the GCD of 744, 140, 311, 576?

GCD of given numbers 744, 140, 311, 576 is 1

2. How to calculate the greatest common divisor of 744, 140, 311, 576?

We can find the highest common divisor of 744, 140, 311, 576 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 744, 140, 311, 576 i.e 1.

3. How can I use the GCD of 744, 140, 311, 576Calculator?

Out the numbers 744, 140, 311, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.