GCD of 988, 408, 676, 824 Calculator

Given Input numbers are 988, 408, 676, 824

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 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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (988, 408, 676, 824) = 4.

Given numbers are 988, 408, 676, 824

The list of prime factors of all numbers are

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

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

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2²

Therefore, GCD of 988, 408, 676, 824 is 4.

Given numbers are 988, 408, 676, 824

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

Apply this formula for all numbers.

Step1:

LCM(988, 408) = 100776

GCD(988, 408) = ( 988 x 408 ) / 100776

= 988 / 408

= 988

Step2:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

Step3:

LCM(4, 824) = 824

GCD(4, 824) = ( 4 x 824 ) / 824

= 4 / 824

= 4

So, Greatest Common Divisor of 988, 408, 676, 824 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 905, 871, 316
• GCD of 353, 466, 840, 769
• GCD of 180, 803, 480, 669
• GCD of 412, 523, 642, 651
• GCD of 137, 595, 891, 195

Given numbers are 988, 408, 676, 824
The greatest common divisor of numbers 988, 408, 676, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 408, 676, 824 is 4.

1. What is the GCD of 988, 408, 676, 824?

GCD of given numbers 988, 408, 676, 824 is 4

2. How to calculate the greatest common divisor of 988, 408, 676, 824?

We can find the highest common divisor of 988, 408, 676, 824 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, 408, 676, 824 i.e 4.

3. How can I use the GCD of 988, 408, 676, 824Calculator?

Out the numbers 988, 408, 676, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.