GCD of 396, 574, 118, 744 Calculator

Given Input numbers are 396, 574, 118, 744

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

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

GCD of numbers is the greatest common divisor

So, the GCD (396, 574, 118, 744) = 2.

Given numbers are 396, 574, 118, 744

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 574 are 2 x 7 x 41

Prime factors of 118 are 2 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 396, 574, 118, 744 is 2.

Given numbers are 396, 574, 118, 744

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

Apply this formula for all numbers.

Step1:

LCM(396, 574) = 113652

GCD(396, 574) = ( 396 x 574 ) / 113652

= 396 / 574

= 396

Step2:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

Step3:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

So, Greatest Common Divisor of 396, 574, 118, 744 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 141, 469, 476
• GCD of 370, 156, 738, 720
• GCD of 582, 465, 695, 630
• GCD of 674, 155, 374, 148
• GCD of 828, 580, 606, 777

Given numbers are 396, 574, 118, 744
The greatest common divisor of numbers 396, 574, 118, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 574, 118, 744 is 2.

1. What is the GCD of 396, 574, 118, 744?

GCD of given numbers 396, 574, 118, 744 is 2

2. How to calculate the greatest common divisor of 396, 574, 118, 744?

We can find the highest common divisor of 396, 574, 118, 744 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 396, 574, 118, 744 i.e 2.

3. How can I use the GCD of 396, 574, 118, 744Calculator?

Out the numbers 396, 574, 118, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.