GCD of 986, 132, 492, 498 Calculator

Given Input numbers are 986, 132, 492, 498

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

GCD of numbers is the greatest common divisor

So, the GCD (986, 132, 492, 498) = 2.

Given numbers are 986, 132, 492, 498

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 986, 132, 492, 498 is 2.

Given numbers are 986, 132, 492, 498

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

Apply this formula for all numbers.

Step1:

LCM(986, 132) = 65076

GCD(986, 132) = ( 986 x 132 ) / 65076

= 986 / 132

= 986

Step2:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

Step3:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

So, Greatest Common Divisor of 986, 132, 492, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 166, 172, 548
• GCD of 194, 199, 567, 982
• GCD of 929, 329, 934, 519
• GCD of 704, 299, 298, 578
• GCD of 468, 130, 514, 880

Given numbers are 986, 132, 492, 498
The greatest common divisor of numbers 986, 132, 492, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 132, 492, 498 is 2.

1. What is the GCD of 986, 132, 492, 498?

GCD of given numbers 986, 132, 492, 498 is 2

2. How to calculate the greatest common divisor of 986, 132, 492, 498?

We can find the highest common divisor of 986, 132, 492, 498 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, 132, 492, 498 i.e 2.

3. How can I use the GCD of 986, 132, 492, 498Calculator?

Out the numbers 986, 132, 492, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.