GCD of 138, 896, 630, 566 Calculator

Given Input numbers are 138, 896, 630, 566

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 566 :

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

1, 2, 283, 566

GCD of numbers is the greatest common divisor

So, the GCD (138, 896, 630, 566) = 2.

Given numbers are 138, 896, 630, 566

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 566 are 2 x 283

The highest common occurrence is 2¹

Therefore, GCD of 138, 896, 630, 566 is 2.

Given numbers are 138, 896, 630, 566

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

Apply this formula for all numbers.

Step1:

LCM(138, 896) = 61824

GCD(138, 896) = ( 138 x 896 ) / 61824

= 138 / 896

= 138

Step2:

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

= 2 / 630

= 2

Step3:

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

= 2 / 566

= 2

So, Greatest Common Divisor of 138, 896, 630, 566 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 549, 620, 704
• GCD of 292, 270, 359, 702
• GCD of 428, 854, 131, 479
• GCD of 624, 789, 967, 235
• GCD of 681, 343, 750, 518

Given numbers are 138, 896, 630, 566
The greatest common divisor of numbers 138, 896, 630, 566 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 896, 630, 566 is 2.

1. What is the GCD of 138, 896, 630, 566?

GCD of given numbers 138, 896, 630, 566 is 2

2. How to calculate the greatest common divisor of 138, 896, 630, 566?

We can find the highest common divisor of 138, 896, 630, 566 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, 896, 630, 566 i.e 2.

3. How can I use the GCD of 138, 896, 630, 566Calculator?

Out the numbers 138, 896, 630, 566 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.