GCD of 336, 657, 744, 588 Calculator

Given Input numbers are 336, 657, 744, 588

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

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 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 (336, 657, 744, 588) = 3.

Given numbers are 336, 657, 744, 588

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 657 are 3 x 3 x 73

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

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

The highest common occurrence is 3¹

Therefore, GCD of 336, 657, 744, 588 is 3.

Given numbers are 336, 657, 744, 588

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

Apply this formula for all numbers.

Step1:

LCM(336, 657) = 73584

GCD(336, 657) = ( 336 x 657 ) / 73584

= 336 / 657

= 336

Step2:

LCM(3, 744) = 744

GCD(3, 744) = ( 3 x 744 ) / 744

= 3 / 744

= 3

Step3:

LCM(3, 588) = 588

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

= 3 / 588

= 3

So, Greatest Common Divisor of 336, 657, 744, 588 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 644, 582, 446
• GCD of 496, 170, 464, 632
• GCD of 165, 664, 526, 924
• GCD of 832, 943, 738, 925
• GCD of 309, 140, 296, 484

Given numbers are 336, 657, 744, 588
The greatest common divisor of numbers 336, 657, 744, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 657, 744, 588 is 3.

1. What is the GCD of 336, 657, 744, 588?

GCD of given numbers 336, 657, 744, 588 is 3

2. How to calculate the greatest common divisor of 336, 657, 744, 588?

We can find the highest common divisor of 336, 657, 744, 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 336, 657, 744, 588 i.e 3.

3. How can I use the GCD of 336, 657, 744, 588Calculator?

Out the numbers 336, 657, 744, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.