GCD of 744, 660, 801, 588 Calculator

Given Input numbers are 744, 660, 801, 588

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (744, 660, 801, 588) = 3.

Given numbers are 744, 660, 801, 588

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 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 801 are 3 x 3 x 89

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 744, 660, 801, 588 is 3.

Given numbers are 744, 660, 801, 588

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

Apply this formula for all numbers.

Step1:

LCM(744, 660) = 40920

GCD(744, 660) = ( 744 x 660 ) / 40920

= 744 / 660

= 744

Step2:

LCM(12, 801) = 3204

GCD(12, 801) = ( 12 x 801 ) / 3204

= 12 / 801

= 12

Step3:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

So, Greatest Common Divisor of 744, 660, 801, 588 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 746, 106, 528
• GCD of 658, 733, 416, 492
• GCD of 754, 113, 998, 590
• GCD of 480, 924, 854, 265
• GCD of 938, 792, 599, 412

Given numbers are 744, 660, 801, 588
The greatest common divisor of numbers 744, 660, 801, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 660, 801, 588 is 3.

1. What is the GCD of 744, 660, 801, 588?

GCD of given numbers 744, 660, 801, 588 is 3

2. How to calculate the greatest common divisor of 744, 660, 801, 588?

We can find the highest common divisor of 744, 660, 801, 588 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, 660, 801, 588 i.e 3.

3. How can I use the GCD of 744, 660, 801, 588Calculator?

Out the numbers 744, 660, 801, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.