GCD of 686, 398, 438, 984 Calculator

Given Input numbers are 686, 398, 438, 984

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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

GCD of numbers is the greatest common divisor

So, the GCD (686, 398, 438, 984) = 2.

Given numbers are 686, 398, 438, 984

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 398 are 2 x 199

Prime factors of 438 are 2 x 3 x 73

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

The highest common occurrence is 2¹

Therefore, GCD of 686, 398, 438, 984 is 2.

Given numbers are 686, 398, 438, 984

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

Apply this formula for all numbers.

Step1:

LCM(686, 398) = 136514

GCD(686, 398) = ( 686 x 398 ) / 136514

= 686 / 398

= 686

Step2:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

Step3:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2

So, Greatest Common Divisor of 686, 398, 438, 984 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 967, 837, 507
• GCD of 820, 695, 200, 347
• GCD of 530, 203, 589, 713
• GCD of 649, 822, 294, 225
• GCD of 936, 329, 933, 590

Given numbers are 686, 398, 438, 984
The greatest common divisor of numbers 686, 398, 438, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 398, 438, 984 is 2.

1. What is the GCD of 686, 398, 438, 984?

GCD of given numbers 686, 398, 438, 984 is 2

2. How to calculate the greatest common divisor of 686, 398, 438, 984?

We can find the highest common divisor of 686, 398, 438, 984 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 686, 398, 438, 984 i.e 2.

3. How can I use the GCD of 686, 398, 438, 984Calculator?

Out the numbers 686, 398, 438, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.