GCD of 738, 676, 444, 418 Calculator

Given Input numbers are 738, 676, 444, 418

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

GCD of numbers is the greatest common divisor

So, the GCD (738, 676, 444, 418) = 2.

Given numbers are 738, 676, 444, 418

The list of prime factors of all numbers are

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

Prime factors of 676 are 2 x 2 x 13 x 13

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

Prime factors of 418 are 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 738, 676, 444, 418 is 2.

Given numbers are 738, 676, 444, 418

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

Apply this formula for all numbers.

Step1:

LCM(738, 676) = 249444

GCD(738, 676) = ( 738 x 676 ) / 249444

= 738 / 676

= 738

Step2:

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

= 2 / 444

= 2

Step3:

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

= 2 / 418

= 2

So, Greatest Common Divisor of 738, 676, 444, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 653, 930, 612
• GCD of 960, 156, 764, 692
• GCD of 926, 740, 630, 858
• GCD of 842, 947, 865, 870
• GCD of 272, 542, 185, 951

Given numbers are 738, 676, 444, 418
The greatest common divisor of numbers 738, 676, 444, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 676, 444, 418 is 2.

1. What is the GCD of 738, 676, 444, 418?

GCD of given numbers 738, 676, 444, 418 is 2

2. How to calculate the greatest common divisor of 738, 676, 444, 418?

We can find the highest common divisor of 738, 676, 444, 418 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, 676, 444, 418 i.e 2.

3. How can I use the GCD of 738, 676, 444, 418Calculator?

Out the numbers 738, 676, 444, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.