GCD of 984, 646, 918, 988 Calculator

Given Input numbers are 984, 646, 918, 988

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 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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

GCD of numbers is the greatest common divisor

So, the GCD (984, 646, 918, 988) = 2.

Given numbers are 984, 646, 918, 988

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 646 are 2 x 17 x 19

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 984, 646, 918, 988 is 2.

Given numbers are 984, 646, 918, 988

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

Apply this formula for all numbers.

Step1:

LCM(984, 646) = 317832

GCD(984, 646) = ( 984 x 646 ) / 317832

= 984 / 646

= 984

Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

So, Greatest Common Divisor of 984, 646, 918, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 580, 338, 125
• GCD of 940, 856, 794, 253
• GCD of 382, 460, 491, 256
• GCD of 508, 483, 397, 558
• GCD of 644, 761, 283, 400

Given numbers are 984, 646, 918, 988
The greatest common divisor of numbers 984, 646, 918, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 646, 918, 988 is 2.

1. What is the GCD of 984, 646, 918, 988?

GCD of given numbers 984, 646, 918, 988 is 2

2. How to calculate the greatest common divisor of 984, 646, 918, 988?

We can find the highest common divisor of 984, 646, 918, 988 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, 646, 918, 988 i.e 2.

3. How can I use the GCD of 984, 646, 918, 988Calculator?

Out the numbers 984, 646, 918, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.