GCD of 550, 726, 48, 996 Calculator

Given Input numbers are 550, 726, 48, 996

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (550, 726, 48, 996) = 2.

Given numbers are 550, 726, 48, 996

The list of prime factors of all numbers are

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

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 550, 726, 48, 996 is 2.

Given numbers are 550, 726, 48, 996

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

Apply this formula for all numbers.

Step1:

LCM(550, 726) = 18150

GCD(550, 726) = ( 550 x 726 ) / 18150

= 550 / 726

= 550

Step2:

LCM(22, 48) = 528

GCD(22, 48) = ( 22 x 48 ) / 528

= 22 / 48

= 22

Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

So, Greatest Common Divisor of 550, 726, 48, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 454, 57, 879
• GCD of 380, 185, 42, 570
• GCD of 854, 700, 48, 436
• GCD of 727, 896, 65, 651
• GCD of 899, 435, 84, 694

Given numbers are 550, 726, 48, 996
The greatest common divisor of numbers 550, 726, 48, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 726, 48, 996 is 2.

1. What is the GCD of 550, 726, 48, 996?

GCD of given numbers 550, 726, 48, 996 is 2

2. How to calculate the greatest common divisor of 550, 726, 48, 996?

We can find the highest common divisor of 550, 726, 48, 996 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, 726, 48, 996 i.e 2.

3. How can I use the GCD of 550, 726, 48, 996Calculator?

Out the numbers 550, 726, 48, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.