GCD of 916, 862, 468, 998 Calculator

Given Input numbers are 916, 862, 468, 998

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (916, 862, 468, 998) = 2.

Given numbers are 916, 862, 468, 998

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 862 are 2 x 431

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 916, 862, 468, 998 is 2.

Given numbers are 916, 862, 468, 998

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

Apply this formula for all numbers.

Step1:

LCM(916, 862) = 394796

GCD(916, 862) = ( 916 x 862 ) / 394796

= 916 / 862

= 916

Step2:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

Step3:

LCM(2, 998) = 998

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

= 2 / 998

= 2

So, Greatest Common Divisor of 916, 862, 468, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 691, 336, 908
• GCD of 993, 115, 660, 179
• GCD of 187, 391, 332, 428
• GCD of 438, 641, 626, 182
• GCD of 648, 631, 550, 366

Given numbers are 916, 862, 468, 998
The greatest common divisor of numbers 916, 862, 468, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 862, 468, 998 is 2.

1. What is the GCD of 916, 862, 468, 998?

GCD of given numbers 916, 862, 468, 998 is 2

2. How to calculate the greatest common divisor of 916, 862, 468, 998?

We can find the highest common divisor of 916, 862, 468, 998 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 916, 862, 468, 998 i.e 2.

3. How can I use the GCD of 916, 862, 468, 998Calculator?

Out the numbers 916, 862, 468, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.