GCD of 544, 982, 550, 200 Calculator

Given Input numbers are 544, 982, 550, 200

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

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (544, 982, 550, 200) = 2.

Given numbers are 544, 982, 550, 200

The list of prime factors of all numbers are

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 982 are 2 x 491

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 544, 982, 550, 200 is 2.

Given numbers are 544, 982, 550, 200

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

Apply this formula for all numbers.

Step1:

LCM(544, 982) = 267104

GCD(544, 982) = ( 544 x 982 ) / 267104

= 544 / 982

= 544

Step2:

LCM(2, 550) = 550

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

= 2 / 550

= 2

Step3:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

So, Greatest Common Divisor of 544, 982, 550, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 228, 179, 183
• GCD of 208, 685, 152, 158
• GCD of 320, 850, 993, 721
• GCD of 149, 127, 680, 399
• GCD of 145, 805, 412, 874

Given numbers are 544, 982, 550, 200
The greatest common divisor of numbers 544, 982, 550, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 544, 982, 550, 200 is 2.

1. What is the GCD of 544, 982, 550, 200?

GCD of given numbers 544, 982, 550, 200 is 2

2. How to calculate the greatest common divisor of 544, 982, 550, 200?

We can find the highest common divisor of 544, 982, 550, 200 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 544, 982, 550, 200 i.e 2.

3. How can I use the GCD of 544, 982, 550, 200Calculator?

Out the numbers 544, 982, 550, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.