GCD of 550, 588, 362, 916 Calculator

Given Input numbers are 550, 588, 362, 916

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

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 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (550, 588, 362, 916) = 2.

Given numbers are 550, 588, 362, 916

The list of prime factors of all numbers are

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

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 362 are 2 x 181

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 550, 588, 362, 916 is 2.

Given numbers are 550, 588, 362, 916

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

Apply this formula for all numbers.

Step1:

LCM(550, 588) = 161700

GCD(550, 588) = ( 550 x 588 ) / 161700

= 550 / 588

= 550

Step2:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 550, 588, 362, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 216, 188, 130
• GCD of 909, 450, 490, 549
• GCD of 805, 489, 731, 485
• GCD of 185, 704, 282, 254
• GCD of 344, 997, 237, 844

Given numbers are 550, 588, 362, 916
The greatest common divisor of numbers 550, 588, 362, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 588, 362, 916 is 2.

1. What is the GCD of 550, 588, 362, 916?

GCD of given numbers 550, 588, 362, 916 is 2

2. How to calculate the greatest common divisor of 550, 588, 362, 916?

We can find the highest common divisor of 550, 588, 362, 916 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 550, 588, 362, 916 i.e 2.

3. How can I use the GCD of 550, 588, 362, 916Calculator?

Out the numbers 550, 588, 362, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.