GCD of 138, 566, 90, 984 Calculator

Given Input numbers are 138, 566, 90, 984

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

Divisors of 138 :

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

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

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 (138, 566, 90, 984) = 2.

Given numbers are 138, 566, 90, 984

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 566 are 2 x 283

Prime factors of 90 are 2 x 3 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 138, 566, 90, 984 is 2.

Given numbers are 138, 566, 90, 984

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

Apply this formula for all numbers.

Step1:

LCM(138, 566) = 39054

GCD(138, 566) = ( 138 x 566 ) / 39054

= 138 / 566

= 138

Step2:

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

= 2 / 90

= 2

Step3:

LCM(2, 984) = 984

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

= 2 / 984

= 2

So, Greatest Common Divisor of 138, 566, 90, 984 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 500, 79, 292
• GCD of 193, 164, 61, 771
• GCD of 924, 372, 41, 539
• GCD of 705, 962, 37, 245
• GCD of 867, 693, 19, 596

Given numbers are 138, 566, 90, 984
The greatest common divisor of numbers 138, 566, 90, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 566, 90, 984 is 2.

1. What is the GCD of 138, 566, 90, 984?

GCD of given numbers 138, 566, 90, 984 is 2

2. How to calculate the greatest common divisor of 138, 566, 90, 984?

We can find the highest common divisor of 138, 566, 90, 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 138, 566, 90, 984 i.e 2.

3. How can I use the GCD of 138, 566, 90, 984Calculator?

Out the numbers 138, 566, 90, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.