GCD of 990, 540, 308, 752 Calculator

Given Input numbers are 990, 540, 308, 752

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (990, 540, 308, 752) = 2.

Given numbers are 990, 540, 308, 752

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 990, 540, 308, 752 is 2.

Given numbers are 990, 540, 308, 752

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

Apply this formula for all numbers.

Step1:

LCM(990, 540) = 5940

GCD(990, 540) = ( 990 x 540 ) / 5940

= 990 / 540

= 990

Step2:

LCM(90, 308) = 13860

GCD(90, 308) = ( 90 x 308 ) / 13860

= 90 / 308

= 90

Step3:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

So, Greatest Common Divisor of 990, 540, 308, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 821, 927, 830
• GCD of 604, 111, 100, 624
• GCD of 546, 528, 468, 853
• GCD of 432, 345, 747, 628
• GCD of 683, 314, 758, 925

Given numbers are 990, 540, 308, 752
The greatest common divisor of numbers 990, 540, 308, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 540, 308, 752 is 2.

1. What is the GCD of 990, 540, 308, 752?

GCD of given numbers 990, 540, 308, 752 is 2

2. How to calculate the greatest common divisor of 990, 540, 308, 752?

We can find the highest common divisor of 990, 540, 308, 752 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 990, 540, 308, 752 i.e 2.

3. How can I use the GCD of 990, 540, 308, 752Calculator?

Out the numbers 990, 540, 308, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.