GCD of 816, 874, 998, 752 Calculator

Given Input numbers are 816, 874, 998, 752

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (816, 874, 998, 752) = 2.

Given numbers are 816, 874, 998, 752

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 874 are 2 x 19 x 23

Prime factors of 998 are 2 x 499

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 816, 874, 998, 752 is 2.

Given numbers are 816, 874, 998, 752

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

Apply this formula for all numbers.

Step1:

LCM(816, 874) = 356592

GCD(816, 874) = ( 816 x 874 ) / 356592

= 816 / 874

= 816

Step2:

LCM(2, 998) = 998

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

= 2 / 998

= 2

Step3:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

So, Greatest Common Divisor of 816, 874, 998, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 448, 764, 727
• GCD of 742, 763, 973, 877
• GCD of 442, 180, 968, 368
• GCD of 561, 730, 115, 597
• GCD of 611, 522, 144, 669

Given numbers are 816, 874, 998, 752
The greatest common divisor of numbers 816, 874, 998, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 874, 998, 752 is 2.

1. What is the GCD of 816, 874, 998, 752?

GCD of given numbers 816, 874, 998, 752 is 2

2. How to calculate the greatest common divisor of 816, 874, 998, 752?

We can find the highest common divisor of 816, 874, 998, 752 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 816, 874, 998, 752 i.e 2.

3. How can I use the GCD of 816, 874, 998, 752Calculator?

Out the numbers 816, 874, 998, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.