GCD of 116, 128, 550, 564 Calculator

Given Input numbers are 116, 128, 550, 564

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (116, 128, 550, 564) = 2.

Given numbers are 116, 128, 550, 564

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 116, 128, 550, 564 is 2.

Given numbers are 116, 128, 550, 564

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

Apply this formula for all numbers.

Step1:

LCM(116, 128) = 3712

GCD(116, 128) = ( 116 x 128 ) / 3712

= 116 / 128

= 116

Step2:

LCM(4, 550) = 1100

GCD(4, 550) = ( 4 x 550 ) / 1100

= 4 / 550

= 4

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 116, 128, 550, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 984, 776, 557
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Given numbers are 116, 128, 550, 564
The greatest common divisor of numbers 116, 128, 550, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 128, 550, 564 is 2.

1. What is the GCD of 116, 128, 550, 564?

GCD of given numbers 116, 128, 550, 564 is 2

2. How to calculate the greatest common divisor of 116, 128, 550, 564?

We can find the highest common divisor of 116, 128, 550, 564 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 116, 128, 550, 564 i.e 2.

3. How can I use the GCD of 116, 128, 550, 564Calculator?

Out the numbers 116, 128, 550, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.