GCD of 992, 738, 998, 446 Calculator

Given Input numbers are 992, 738, 998, 446

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

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 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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

GCD of numbers is the greatest common divisor

So, the GCD (992, 738, 998, 446) = 2.

Given numbers are 992, 738, 998, 446

The list of prime factors of all numbers are

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

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

Prime factors of 998 are 2 x 499

Prime factors of 446 are 2 x 223

The highest common occurrence is 2¹

Therefore, GCD of 992, 738, 998, 446 is 2.

Given numbers are 992, 738, 998, 446

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

Apply this formula for all numbers.

Step1:

LCM(992, 738) = 366048

GCD(992, 738) = ( 992 x 738 ) / 366048

= 992 / 738

= 992

Step2:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

Step3:

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

= 2 / 446

= 2

So, Greatest Common Divisor of 992, 738, 998, 446 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 344, 332, 746
• GCD of 168, 807, 339, 758
• GCD of 572, 806, 989, 294
• GCD of 175, 679, 707, 153
• GCD of 601, 896, 631, 688

Given numbers are 992, 738, 998, 446
The greatest common divisor of numbers 992, 738, 998, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 738, 998, 446 is 2.

1. What is the GCD of 992, 738, 998, 446?

GCD of given numbers 992, 738, 998, 446 is 2

2. How to calculate the greatest common divisor of 992, 738, 998, 446?

We can find the highest common divisor of 992, 738, 998, 446 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 992, 738, 998, 446 i.e 2.

3. How can I use the GCD of 992, 738, 998, 446Calculator?

Out the numbers 992, 738, 998, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.