GCD of 986, 798, 400, 418 Calculator

Given Input numbers are 986, 798, 400, 418

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

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

GCD of numbers is the greatest common divisor

So, the GCD (986, 798, 400, 418) = 2.

Given numbers are 986, 798, 400, 418

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 418 are 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 986, 798, 400, 418 is 2.

Given numbers are 986, 798, 400, 418

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

Apply this formula for all numbers.

Step1:

LCM(986, 798) = 393414

GCD(986, 798) = ( 986 x 798 ) / 393414

= 986 / 798

= 986

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

= 2 / 418

= 2

So, Greatest Common Divisor of 986, 798, 400, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 185, 494, 281
• GCD of 478, 141, 472, 715
• GCD of 717, 296, 159, 600
• GCD of 893, 328, 670, 609
• GCD of 412, 925, 618, 642

Given numbers are 986, 798, 400, 418
The greatest common divisor of numbers 986, 798, 400, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 798, 400, 418 is 2.

1. What is the GCD of 986, 798, 400, 418?

GCD of given numbers 986, 798, 400, 418 is 2

2. How to calculate the greatest common divisor of 986, 798, 400, 418?

We can find the highest common divisor of 986, 798, 400, 418 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 986, 798, 400, 418 i.e 2.

3. How can I use the GCD of 986, 798, 400, 418Calculator?

Out the numbers 986, 798, 400, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.