GCD of 984, 782, 832, 688 Calculator

Given Input numbers are 984, 782, 832, 688

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (984, 782, 832, 688) = 2.

Given numbers are 984, 782, 832, 688

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 782 are 2 x 17 x 23

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 984, 782, 832, 688 is 2.

Given numbers are 984, 782, 832, 688

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

Apply this formula for all numbers.

Step1:

LCM(984, 782) = 384744

GCD(984, 782) = ( 984 x 782 ) / 384744

= 984 / 782

= 984

Step2:

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

= 2 / 832

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 984, 782, 832, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 112, 481, 765
• GCD of 469, 843, 389, 804
• GCD of 321, 322, 420, 919
• GCD of 199, 406, 805, 422
• GCD of 559, 634, 939, 625

Given numbers are 984, 782, 832, 688
The greatest common divisor of numbers 984, 782, 832, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 782, 832, 688 is 2.

1. What is the GCD of 984, 782, 832, 688?

GCD of given numbers 984, 782, 832, 688 is 2

2. How to calculate the greatest common divisor of 984, 782, 832, 688?

We can find the highest common divisor of 984, 782, 832, 688 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 984, 782, 832, 688 i.e 2.

3. How can I use the GCD of 984, 782, 832, 688Calculator?

Out the numbers 984, 782, 832, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.