GCD of 628, 744, 992, 442 Calculator

Given Input numbers are 628, 744, 992, 442

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

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 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (628, 744, 992, 442) = 2.

Given numbers are 628, 744, 992, 442

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

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

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 628, 744, 992, 442 is 2.

Given numbers are 628, 744, 992, 442

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

Apply this formula for all numbers.

Step1:

LCM(628, 744) = 116808

GCD(628, 744) = ( 628 x 744 ) / 116808

= 628 / 744

= 628

Step2:

LCM(4, 992) = 992

GCD(4, 992) = ( 4 x 992 ) / 992

= 4 / 992

= 4

Step3:

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

= 4 / 442

= 4

So, Greatest Common Divisor of 628, 744, 992, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 914, 789, 402
• GCD of 447, 161, 774, 516
• GCD of 473, 911, 956, 450
• GCD of 277, 480, 597, 719
• GCD of 913, 345, 705, 226

Given numbers are 628, 744, 992, 442
The greatest common divisor of numbers 628, 744, 992, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 744, 992, 442 is 2.

1. What is the GCD of 628, 744, 992, 442?

GCD of given numbers 628, 744, 992, 442 is 2

2. How to calculate the greatest common divisor of 628, 744, 992, 442?

We can find the highest common divisor of 628, 744, 992, 442 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 628, 744, 992, 442 i.e 2.

3. How can I use the GCD of 628, 744, 992, 442Calculator?

Out the numbers 628, 744, 992, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.