GCD of 138, 442, 862, 550 Calculator

Given Input numbers are 138, 442, 862, 550

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (138, 442, 862, 550) = 2.

Given numbers are 138, 442, 862, 550

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 442 are 2 x 13 x 17

Prime factors of 862 are 2 x 431

Prime factors of 550 are 2 x 5 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 138, 442, 862, 550 is 2.

Given numbers are 138, 442, 862, 550

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

Apply this formula for all numbers.

Step1:

LCM(138, 442) = 30498

GCD(138, 442) = ( 138 x 442 ) / 30498

= 138 / 442

= 138

Step2:

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

= 2 / 862

= 2

Step3:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

So, Greatest Common Divisor of 138, 442, 862, 550 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 246, 399, 450
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• GCD of 927, 897, 474, 573
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• GCD of 826, 993, 687, 136

Given numbers are 138, 442, 862, 550
The greatest common divisor of numbers 138, 442, 862, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 442, 862, 550 is 2.

1. What is the GCD of 138, 442, 862, 550?

GCD of given numbers 138, 442, 862, 550 is 2

2. How to calculate the greatest common divisor of 138, 442, 862, 550?

We can find the highest common divisor of 138, 442, 862, 550 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, 442, 862, 550 i.e 2.

3. How can I use the GCD of 138, 442, 862, 550Calculator?

Out the numbers 138, 442, 862, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.