GCD of 986, 138, 648 Calculator

Given Input numbers are 986, 138, 648

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (986, 138, 648) = 2.

Given numbers are 986, 138, 648

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 138 are 2 x 3 x 23

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 986, 138, 648 is 2.

Given numbers are 986, 138, 648

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

Apply this formula for all numbers.

Step1:

LCM(986, 138) = 68034

GCD(986, 138) = ( 986 x 138 ) / 68034

= 986 / 138

= 986

Step2:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 986, 138, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 122, 519
• GCD of 547, 438, 739
• GCD of 709, 578, 325
• GCD of 199, 294, 579
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Given numbers are 986, 138, 648
The greatest common divisor of numbers 986, 138, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 138, 648 is 2.

1. What is the GCD of 986, 138, 648?

GCD of given numbers 986, 138, 648 is 2

2. How to calculate the greatest common divisor of 986, 138, 648?

We can find the highest common divisor of 986, 138, 648 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, 138, 648 i.e 2.

3. How can I use the GCD of 986, 138, 648Calculator?

Out the numbers 986, 138, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.