GCD of 444, 723, 564, 354 Calculator

Given Input numbers are 444, 723, 564, 354

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

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (444, 723, 564, 354) = 3.

Given numbers are 444, 723, 564, 354

The list of prime factors of all numbers are

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 723 are 3 x 241

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 444, 723, 564, 354 is 3.

Given numbers are 444, 723, 564, 354

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

Apply this formula for all numbers.

Step1:

LCM(444, 723) = 107004

GCD(444, 723) = ( 444 x 723 ) / 107004

= 444 / 723

= 444

Step2:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

Step3:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

So, Greatest Common Divisor of 444, 723, 564, 354 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 377, 734, 283
• GCD of 329, 522, 245, 693
• GCD of 341, 676, 349, 707
• GCD of 580, 315, 445, 738
• GCD of 749, 931, 479, 638

Given numbers are 444, 723, 564, 354
The greatest common divisor of numbers 444, 723, 564, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 723, 564, 354 is 3.

1. What is the GCD of 444, 723, 564, 354?

GCD of given numbers 444, 723, 564, 354 is 3

2. How to calculate the greatest common divisor of 444, 723, 564, 354?

We can find the highest common divisor of 444, 723, 564, 354 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 444, 723, 564, 354 i.e 3.

3. How can I use the GCD of 444, 723, 564, 354Calculator?

Out the numbers 444, 723, 564, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.