GCD of 988, 872, 498, 408 Calculator

Given Input numbers are 988, 872, 498, 408

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (988, 872, 498, 408) = 2.

Given numbers are 988, 872, 498, 408

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 498 are 2 x 3 x 83

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 988, 872, 498, 408 is 2.

Given numbers are 988, 872, 498, 408

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

Apply this formula for all numbers.

Step1:

LCM(988, 872) = 215384

GCD(988, 872) = ( 988 x 872 ) / 215384

= 988 / 872

= 988

Step2:

LCM(4, 498) = 996

GCD(4, 498) = ( 4 x 498 ) / 996

= 4 / 498

= 4

Step3:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

So, Greatest Common Divisor of 988, 872, 498, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 563, 136, 225
• GCD of 867, 514, 661, 656
• GCD of 343, 747, 733, 876
• GCD of 776, 308, 396, 199
• GCD of 924, 690, 859, 277

Given numbers are 988, 872, 498, 408
The greatest common divisor of numbers 988, 872, 498, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 872, 498, 408 is 2.

1. What is the GCD of 988, 872, 498, 408?

GCD of given numbers 988, 872, 498, 408 is 2

2. How to calculate the greatest common divisor of 988, 872, 498, 408?

We can find the highest common divisor of 988, 872, 498, 408 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 988, 872, 498, 408 i.e 2.

3. How can I use the GCD of 988, 872, 498, 408Calculator?

Out the numbers 988, 872, 498, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.